Question
Joey is making a poster for Bike Safety Week. The diameter of circle A is 14 in.
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
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
Answers
GPT 3.5
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.
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.