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!

Respuesta :

Answer:

Area ≈ 4,500

Step-by-step explanation:

Radius of Circle A

r = √[tex]\frac{A}{\pi}[/tex]

r =  √[tex]\frac{500}{\pi}[/tex]

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 = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{75.72}{2}[/tex]

r = 37.86

Area of Circle B

A =[tex]\pi[/tex][tex]r^{2}[/tex]

A = [tex]\pi[/tex](37.86)²

A = 4,503.09

Answer:

4,500

Step-by-step explanation: