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!

Question

asked Apr 14, 2021 168k views

2 Answers

Eigenein · Answer 1 · 2021-04-21T07:31:34+0000

Answer:

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