Circle Basics
Area of Circles
Central Angles & Sectors
Real-Life Applications
Challenge Round
100

What is the name of the distance from the centre of a circle to the edge?

Radius

100

Find the area when r = 5 cm.

78.5 cm2

100

What fraction of a circle is a 90° central angle?

1/4

100

A circular table has a radius 4 m. Find the area.

50.24 m2

100

If r = 3, what is the diameter and area?

d = 6

A = 28.26

200

If the radius is 8 cm, what is the diameter?

16 cm

200

Find the area when the diameter is 12 m.

113.0 m2

200

What fraction of a circle is 180°?

1/2

200

A pizza has a diameter 20 cm. What is its area?

314 cm2
200

Two circles have a radii of 4 cm and 8 cm.

How many times larger is the bigger circle's area?

4 times larger

300

What is the sum of all central angles in a circle?

360°

300

Find the radius if the area is 50.24 cm2.

4 cm

300

Find the area of a 90° sector if r = 8 cm.

50.24 cm2

300

A circular garden has a radius 10 m. Grass costs $3 per m2.

How much would it cost to cover the garden?

$942

300

Find the central angle of a sector that is 1/5 of a circle.

72°

400

If the diameter is 14 m, what is the radius?

7 m

400

The radius doubles. What happens to the area?

Area becomes 4 times larger

(b/c r2)

400

Find the area of a 120° sector if r = 6 cm.

37.68 cm2

400

A circular rug covers 78.5 m2. What is its radius?

5 m

400

A 72° sector has area 31.4 cm2.

What is the total area of the circle?

157 cm2

500

A circle has a radius of r. Write a formula for its area.

A = πr2

500

Find the area when r = 7 cm.

153.9 cm2

500

A circle is divided into sectors of 100°, 140°, and 120°.

Prove they form a complete circle.

100 + 140 + 120 = 360°

500

A pizza with a diameter of 30 cm is cut into 6 equal slices.

117.8 cm2

500

A circle has area 314 cm2.

It is divided into 4 equal sectors.

Find the radius.

10 cm