Question

Circle A has area of 500 in2. The diameter of circle B is three times the diameter of circle A. Estimate the area of Circle B. NOT 1500!

Answer 1

4,500

Explanation:

Answer 2

Area ≈ 4,500

Explanation:

Radius of Circle A

r = √
`(A)/(\pi)`

r = √
`(500)/(\pi)`

r ≈ 12.62

Diameter of Cricle A

d = 2r

d = 2(12.62)

d = 25.24

25.25 x 3 =75.72 --> This is the diameter of Circle B

Radius of Circle B

r =
`(d)/(2)`

r =
`(75.72)/(2)`

r = 37.86

Area of Circle B

A =
`\pi`
`r^(2)`

A =
`\pi`(37.86)²

A = 4,503.09