Area of a semicircle or quadrant Revision Card

AI generatedGeometry and measuresKey Stage 3

Area of a semicircle or quadrant.

A sector uses the fraction of the whole circle.
Arc length comes from circumference; sector area comes from circle area.
Perimeter includes straight edges too. An annulus is outer-circle area minus inner-circle area.

Example 1

Find the area of the semicircle. Give an exact answer.

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Find the area of the quadrant. Give an exact answer.

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Question 1

Find the area of the semicircle. Give an exact answer.

Check answer

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Question 2

Find the area of the quadrant. Give an exact answer.

Check answer

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Question 3

Find the area of the semicircle. Give an exact answer.

Check answer

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Question 4

Find the area of the quadrant. Give an exact answer.

Check answer

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.

Question 5

Find the area of the semicircle. Give an exact answer.

Check answer

Choose the formula for this shape.

Substitute the labelled dimensions. Keep π exact when it appears.