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Question Bank: Areas Related to Circles

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Question Bank - Areas Related to Circles

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Q1.

What is the formula for the area of a sector of a circle with radius r and angle q in degrees?

Single Answer MCQ

Q-00174273

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Q2.

If a sector of a circle has a radius of 5 cm and an angle of 90°, what is the area of the sector?

Single Answer MCQ

Q-00174275

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Q3.

A clock's minute hand is 12 cm long. What area does it sweep in 15 minutes?

Single Answer MCQ

Q-00174277

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Q4.

If the radius of a circle is 10 cm, what is the area of a sector with an angle of 45°?

Single Answer MCQ

Q-00174279

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Q5.

Find the area of a sector of a circle if the radius is 14 cm and the angle is 120°.

Single Answer MCQ

Q-00174281

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Q6.

What is the area of a quarter circle (90°) with a radius of 8 cm?

Single Answer MCQ

Q-00174283

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Q7.

A sector subtends an angle of 60° and has a radius of 10 cm. What is its area?

Single Answer MCQ

Q-00174285

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Q8.

Calculate the area of a sector if its central angle is 30° and the radius is 4 cm.

Single Answer MCQ

Q-00174287

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Q9.

If a sector has an area of 20 cm² and a radius of 5 cm, what is the angle in degrees?

Single Answer MCQ

Q-00174289

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Q10.

A garden is designed in the shape of a sector of a circle with a radius of 12 m and a central angle of 150°. Calculate its area.

Single Answer MCQ

Q-00174291

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Q11.

Which of the following expresses the circumference of a sector with radius r and angle θ?

Single Answer MCQ

Q-00174293

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Q12.

A sector of a circle has a central angle of 140°. If the radius is 3 cm, what is the area?

Single Answer MCQ

Q-00174294

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Q13.

If the area of a sector is 36π cm² and the radius is 12 cm, what is the angle in degrees?

Single Answer MCQ

Q-00174295

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Q14.

What is the formula to calculate the area of a sector of a circle?

Single Answer MCQ

Q-00174296

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Q15.

If the radius of a circle is 7 cm and the angle of the sector is 60°, what is the area of the sector?

Single Answer MCQ

Q-00174297

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Q16.

A sector has an angle of 90°. What fraction of the total area of the circle does it represent?

Single Answer MCQ

Q-00174298

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Q17.

If the radius of a circle is 15 cm and the angle subtended at the center is 90°, what is the area of the segment formed? (Use π = 3.14)

Single Answer MCQ

Q-00174299

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Q18.

Which of the following describes the segment of a circle?

Single Answer MCQ

Q-00174300

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Q19.

If a circle has a radius of 10 cm, what is the area of a segment that corresponds to a 120° angle at the center? (Use π = 3.14)

Single Answer MCQ

Q-00174301

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Q20.

What is the area of a minor segment if the radius is 10 cm and the angle subtending it is 45°?

Single Answer MCQ

Q-00174302

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Q21.

Calculate the area of a segment of a circle where the radius is 12 cm, and the angle is 150°. (Use π = 3.14)

Single Answer MCQ

Q-00174303

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Q22.

If a circle has a radius of 14 cm and you find a sector with an area of 30.67 cm², what could the angle measure of that sector be?

Single Answer MCQ

Q-00174304

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Q23.

In a circle with a radius of 14 cm, what is the area of the segment corresponding to a 45° angle at the center? (Use π = 22/7)

Single Answer MCQ

Q-00174305

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Q24.

Which part of the circle does the major segment exclude?

Single Answer MCQ

Q-00174306

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Q25.

Given a circle with radius 8 cm, what will be the area of its segment created by a chord that subtends an angle of 120° at the center? (Use π = 3.14)

Single Answer MCQ

Q-00174307

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Q26.

What happens to the area of the sector as the angle approaches 360°?

Single Answer MCQ

Q-00174308

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Q27.

What is the area of a segment in a circle with a radius of 10 cm corresponding to a central angle of 180°? (Use π = 3.14)

Single Answer MCQ

Q-00174309

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Q28.

If a chord in a circle creates a segment of area 12.57 cm², what is the radius if the angle is 60°?

Single Answer MCQ

Q-00174310

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Q29.

Find the area of a segment with radius 9 cm where the angle is 150°. (Use π = 3.14)

Single Answer MCQ

Q-00174311

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Q30.

How do you find the area of a major sector given that the radius is r and the angle is q?

Single Answer MCQ

Q-00174312

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Q31.

A circle has a chord that subtends an angle of 60° at its center. Determine the area of the segment with radius 5 cm. (Use π = 3.14)

Single Answer MCQ

Q-00174313

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Q32.

A circle has a minor segment of area 10π cm². If the radius is 5 cm, what is the angle in degrees?

Single Answer MCQ

Q-00174314

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Q33.

If the radius is 18 cm and the angle is 60°, what is the area of the segment formed? (Use π = 3.14)

Single Answer MCQ

Q-00174315

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Q34.

What is the relationship between the major and minor sectors?

Single Answer MCQ

Q-00174316

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Q35.

What is the area of a segment of a circle with radius 11 cm and central angle of 45°? (Use π = 22/7)

Single Answer MCQ

Q-00174317

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Q36.

Which of the following statements regarding sectors is true?

Single Answer MCQ

Q-00174318

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Q37.

For a radius of 20 cm and a central angle of 135°, what is the area of the corresponding segment? (Use π = 22/7)

Single Answer MCQ

Q-00174319

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Q38.

How much area is left unshaded in the circle if the sector area is 15 cm² and the total area is 50 cm²?

Single Answer MCQ

Q-00174320

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Q39.

In a circle of radius 14 cm, what is the area of the segment for an angle of 210°? (Use π = 22/7)

Single Answer MCQ

Q-00174321

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Q40.

What is the area of a sector of a circle with radius 5 cm and angle 60°? (Use π = 3.14)

Single Answer MCQ

Q-00174322

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Q41.

If the total area of a circle is 154 cm², what is the area of a sector with angle 90°? (Use π = 22/7)

Single Answer MCQ

Q-00174323

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Q42.

Calculate the area of the segment of a circle with radius 10 cm, subtending an angle of 60° at the center. (Use π = 3.14)

Single Answer MCQ

Q-00174324

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Q43.

If the radius of a circle is 14 cm, what is the area of the sector with a central angle of 120°? (Use π = 22/7)

Single Answer MCQ

Q-00174325

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Q44.

What is the area of the minor segment of a circle with radius 12 cm and with a central angle of 30°? (Use π = 3.14)

Single Answer MCQ

Q-00174326

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Q45.

Find the area of the major sector in a circle of radius 10 cm with a central angle of 270°. (Use π = 3.14)

Single Answer MCQ

Q-00174327

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Q46.

If a chord of a circle of radius 8 cm subtends an angle of 45° at the center, find the area of the corresponding minor segment. (Use π = 3.14)

Single Answer MCQ

Q-00174328

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Q47.

What is the area of a circle with a diameter of 24 cm?

Single Answer MCQ

Q-00174329

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Q48.

Calculate the area of a sector of angle 180° in a circle of radius 5 cm. (Use π = 3.14)

Single Answer MCQ

Q-00174330

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Q49.

In a circle where the radius is 14 cm, what area does a central angle of 45° cover? (Use π = 22/7)

Single Answer MCQ

Q-00174331

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Q50.

A circle has a radius of 16 cm. What is the area of the segment with a 90° angle? (Use π = 3.14)

Single Answer MCQ

Q-00174332

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Q51.

For a segment of a circle with radius 7 cm and an angle of 120°, what is the area? (Use π = 22/7)

Single Answer MCQ

Q-00174333

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Q52.

In a circle with radius 5 cm, find the area of a sector for angle 150°. (Use π = 3.14)

Single Answer MCQ

Q-00174334

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Q53.

If the area of a triangle formed by radii of a circle is 10 cm², what is the maximum area of the segments formed if the angle is 60°? (Use π = 3.14)

Single Answer MCQ

Q-00174335

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Q54.

What is the formula for the area of a sector of a circle in terms of radius r and angle θ in degrees?

Single Answer MCQ

Q-00174336

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Q55.

If the radius of a circle is doubled, how does the area of a sector change for a fixed angle θ?

Single Answer MCQ

Q-00174337

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Q56.

The length of an arc of a circle is given by which formula related to radius and angle?

Single Answer MCQ

Q-00174338

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Q57.

What happens to the area of a sector if the angle is halved, maintaining the same radius?

Single Answer MCQ

Q-00174339

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Q58.

To find the area of a segment of a circle, which two elements must you calculate first?

Single Answer MCQ

Q-00174340

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Q59.

The area of a circle can be described by which of these formulas?

Single Answer MCQ

Q-00174341

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Q60.

What is the area of a sector with a radius of 5 cm and an angle of 60 degrees?

Single Answer MCQ

Q-00174342

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Q61.

If the angle of a sector is 90 degrees, what fraction of the total area of the circle does the sector represent?

Single Answer MCQ

Q-00174343

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Q62.

Which of the following expressions represents the length of an arc for a circle's radius r and angle θ in degrees?

Single Answer MCQ

Q-00174344

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Q63.

A circle has a radius of 10 cm. What is the area of a sector with a 120-degree angle?

Single Answer MCQ

Q-00174345

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Q64.

The relationship between the radius and area of a circle can best be described as:

Single Answer MCQ

Q-00174346

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Q65.

In a circle of radius 4 cm, what is the length of an arc that subtends a 180-degree angle?

Single Answer MCQ

Q-00174347

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Q66.

How does increasing the angle of a sector to 360 degrees affect the area of that sector?

Single Answer MCQ

Q-00174348

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Q67.

The segment of a circle is calculated by subtracting what from the area of the sector?

Single Answer MCQ

Q-00174349

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