Question Bank: Areas Related to Circles

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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)

Which of the following describes the segment of a circle?

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)

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

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

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?

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)

Which part of the circle does the major segment exclude?

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)

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

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)

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

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

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

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)

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

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

What is the relationship between the major and minor sectors?

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

Which of the following statements regarding sectors is true?

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

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

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

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

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

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)

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)

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)

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

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)

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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