Joey is making a poster for Bike Safety Week. The diameter of circle A is 14 in.

Question

If the area of circle B is 1/5 the area of circle A, what is the area of circle B? (Use 3.14 for pi.)
A.
15.386 in2
B.
30.772 in2
C.
123.088 in2
D.
153.86 in2

Answer 1

To find the area of a circle, you use the formula A = πr^2, where r is the radius of the circle.

First, let's find the radius of circle A using the diameter:
Radius of circle A = Diameter of circle A / 2 = 14 in / 2 = 7 in

Now, let's find the area of circle A:
A = π(7 in)^2
A = π(49 in^2)
A = 49π in^2
A ≈ 153.86 in^2

Now, since the area of circle B is 1/5 of the area of circle A, we can calculate the area of circle B by dividing the area of circle A by 5:
Area of circle B = Area of circle A / 5
Area of circle B ≈ 153.86 in^2 / 5 ≈ 30.772 in^2

Therefore, the area of circle B is 30.772 in^2, which is closest to option B.