SOLUTION: Circle A has 1/2 the area of circle b. The radius of circle B is 6 cm. What is the radius of circle A?

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Question 674995: Circle A has 1/2 the area of circle b. The radius of circle B is 6 cm. What is the radius of circle A?
Answer by MathLover1(20849) About Me  (Show Source):
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Circle A has 1%2F2 the area of circle B. The radius of circle B is r=6+cm.
B=r%5E2%2Api
B=%286cm%29%5E2%2Api
B=36cm%5E2%2Api

A=r%5B1%5D%5E2pi

36cm%5E2%2Api%2F2=r%5B1%5D%5E2pi

36cm%5E2%2F2=r%5B1%5D%5E2

18cm%5E2=r%5B1%5D%5E2

sqrt%2818cm%5E2%29=r%5B1%5D

4.24cm=r%5B1%5D.........the radius of circle A (exact number 4.2426406871192851464050661726291)

A=%284.24cm%29%5E2pi

A=18cm%5E2pi