Area of Circles, Sectors, Arcs

A Circle has a radius of 6 inches.  What is the area of the circle? (Best Choice)

• 3π or about 9.42 in²

• 6π or about 18.84 in²

• 12π or about 37.68 in²

• 36π or about 113.04 in² 

What is the area of the shaded region? Round to the nearest hundredth.

• 26

• 452.39

• 113.10

• 40715.04

What is the green area called?

• sector

• segment

• arc

• section

Find the length of the bold arc.

• 61.3ft

• 20.4ft

• 7351.3ft

• 22,068ft

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Match the answers to the following problems.

• Problem 4

• Problem 1

• Problem 2

• Problem 3

find the area of the circle below.

• 100 cm

• 225 cm

• 9 cm

• 28.27 cm

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

Danielle wants to make a cookies for 3 friends. The radius of a cookie is 5 inches. If she wants to ice ALL 3 of the cookies, how many square inches of cookies must she cover with icing?

• 47.1 in²

• 235.5 in²

• 78.5 in²

• 15.7 in² 

What is the area of the shaded region?

• 50.27 units²

• 3015.93 units²

• 8.38 units²

• 4.19 units²