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CBSE
Class 10
Mathematics
Mathematics
Areas Related to Circles
Question Bank

Question Bank - Areas Related ...

Question Bank: Areas Related to Circles

Explore the concepts of calculating areas related to circles, including sectors, segments, and combinations with other geometric shapes.

Question Bank - Areas Related to Circles

Q1.

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

Single Answer MCQ
Q-00009299
Q2.

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-00009300
Q3.

Which of the following statements is true about the major sector?

Single Answer MCQ
Q-00009301
Q4.

Calculate the area of a segment of a circle with a radius of 10 cm and an angle of 30°.

Single Answer MCQ
Q-00009302
Q5.

If a sector has an area of 20 cm² and a radius of 10 cm, what is the angle q of the sector?

Single Answer MCQ
Q-00009303
Q6.

What portion of the total area of a circle does a sector with an angle of 90° represent?

Single Answer MCQ
Q-00009304
Q7.

Which of the following best describes a segment of a circle?

Single Answer MCQ
Q-00009305
Q8.

How do you determine the length of an arc given the angle and radius?

Single Answer MCQ
Q-00009306
Q9.

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

Single Answer MCQ
Q-00009307
Q10.

What is the area of a major segment if the area of the minor segment is 15 cm² in a circle of radius 5 cm?

Single Answer MCQ
Q-00009308
Q11.

If the radius of a circle is 10 cm and the angle of the sector is 90 degrees, what is the area of the sector?

Single Answer MCQ
Q-00009309
Q12.

If a circle's radius is tripled, how does the area of a sector change for a fixed angle?

Single Answer MCQ
Q-00009310
Q13.

Calculate the area of a segment of a circle with radius 6 cm and sector angle 120 degrees.

Single Answer MCQ
Q-00009311
Q14.

What happens to the area of a sector if its angle is reduced to half while keeping the radius constant?

Single Answer MCQ
Q-00009312
Q15.

What is the length of an arc in a circle with a radius of 5 cm and subtended angle of 45 degrees?

Single Answer MCQ
Q-00009313
Q16.

A circular pond has a radius of 12 m. If you walk along the perimeter creating a sector of 90°, what is the length of the arc you walked?

Single Answer MCQ
Q-00009314
Q17.

If the circumference of a circle is 31.4 cm, what is the radius?

Single Answer MCQ
Q-00009315
Q18.

If a chord of a circle creates a minor segment with area 10 cm², what is the area of the corresponding circular sector that holds this segment?

Single Answer MCQ
Q-00009316
Q19.

If an arc of a circle subtends an angle of 90 degrees and the radius is 3 cm, what is the length of the arc?

Single Answer MCQ
Q-00009317
Q20.

Calculate the angle in degrees of a sector with an area of 5π cm² and radius 5 cm.

Single Answer MCQ
Q-00009318
Q21.

A circle with a radius of 10 cm has a sector with an angle of 60 degrees. Find the area of this sector.

Single Answer MCQ
Q-00009319
Q22.

For a circle radius of 14 cm, find the area of the segment formed by a chord that subtends an angle of 120 degrees at the center.

Single Answer MCQ
Q-00009320
Q23.

A circle with radius 8 cm has a sector angle of 270 degrees. Calculate its area.

Single Answer MCQ
Q-00009321
Q24.

What is the area of a circle if the diameter is 14 cm?

Single Answer MCQ
Q-00009322
Q25.

A wheel has a radius of 21 cm. How far does it travel after one complete rotation?

Single Answer MCQ
Q-00009323
Q26.

Determine the height of a triangle formed inside a circle with a radius of 12 cm when the angle subtended is 60 degrees.

Single Answer MCQ
Q-00009324
Q27.

What is the formula for the length of an arc of a circle?

Single Answer MCQ
Q-00009325
Q28.

If the radius of a circle is 7 cm and the angle is 60 degrees, what is the length of the arc?

Single Answer MCQ
Q-00009326
Q29.

Which formula is used to calculate the area of a sector of a circle?

Single Answer MCQ
Q-00009327
Q30.

How do you calculate the area of a segment of a circle?

Single Answer MCQ
Q-00009328
Q31.

If the angle of a sector is doubled, what happens to the area of the sector?

Single Answer MCQ
Q-00009329
Q32.

An arc subtends an angle of 90 degrees at the center of a circle with a radius of 10 cm. What is the length of the arc?

Single Answer MCQ
Q-00009330
Q33.

What is the area of a sector in a circle with radius 5 cm and angle 180 degrees?

Single Answer MCQ
Q-00009331
Q34.

A circle has a radius of 14 cm. What would be the arc length subtended by a 120-degree angle?

Single Answer MCQ
Q-00009332
Q35.

If the area of a sector is 20 cm² and the radius is 10 cm, what is the angle in degrees?

Single Answer MCQ
Q-00009333
Q36.

What is the area of a triangle formed by two radii and the chord of a sector?

Single Answer MCQ
Q-00009334
Q37.

For a circle with a radius of 8 cm, calculate the area of a segment formed by an angle of 30 degrees.

Single Answer MCQ
Q-00009335
Q38.

Which of the following describes the relationship between the sectors of circles with different radii but equal angles?

Single Answer MCQ
Q-00009336
Q39.

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

Single Answer MCQ
Q-00009394
Q40.

A circle has a radius of 10 cm. Calculate the area of a minor sector that subtends an angle of 90°.

Single Answer MCQ
Q-00009395
Q41.

If the radius of a circle is 7 cm and it subtends an angle of 120° at the center, what is the area of the corresponding segment?

Single Answer MCQ
Q-00009396
Q42.

A clock's minute hand is 20 cm long. What area does the hand sweep in 15 minutes?

Single Answer MCQ
Q-00009397
Q43.

Find the area of a segment of a circle with radius 15 cm that subtends an angle of 30° at the center.

Single Answer MCQ
Q-00009398
Q44.

What is the length of the arc of a sector with a radius of 12 cm and an angle of 150°?

Single Answer MCQ
Q-00009399
Q45.

A segment of a circle with radius 8 cm subtends an angle of 135°. Find the area of the segment.

Single Answer MCQ
Q-00009400
Q46.

The radius of a circle is 5 m, what is the area of the circle?

Single Answer MCQ
Q-00009401
Q47.

Calculate the area of a quadrant of a circle with a radius of 3 cm.

Single Answer MCQ
Q-00009402
Q48.

For a circle with a diameter of 14 cm, what is the area of a sector that subtends an angle of 180°?

Single Answer MCQ
Q-00009403
Q49.

Find the area of the major sector of a circle with radius 10 cm and an angle of 270°.

Single Answer MCQ
Q-00009404
Q50.

What is the area of a sector of a circle with radius 4 m and angle measuring 45°?

Single Answer MCQ
Q-00009405
Q51.

In a circle of radius 9 cm, what is the area of the sector formed by an angle of 90° at the center?

Single Answer MCQ
Q-00009406
Q52.

A sector of a circle has an area of 12.5 cm² and its radius is 5 cm. What is the angle of the sector in degrees?

Single Answer MCQ
Q-00009407
Q53.

If a chord of a circle with radius 10 cm subtends a right angle at the center, what is the area of the minor segment?

Single Answer MCQ
Q-00009408

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