SOLUTION: Perimeter of a circle is equal to the perimeter of a square whose area is 484 cm². What is the radius of the circle?

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Question 953626: Perimeter of a circle is equal to the perimeter of a square whose area is 484 cm². What is the radius of the circle?
Answer by macston(5194) About Me  (Show Source):
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Perimeter of a circle is equal to the perimeter of a square whose area is 484 cm². What is the radius of the circle?
C=Circumference (perimeter) of circle=pi%28d%29
S=Side of square=sqrt%28area%29; P=perimeter of square=4S
d=diameter of circle
S=sqrt%28484cm%5E2%29=22cm
P=4S=4%2822cm%29=88cm
C=pi%28d%29
d=C%2F%28pi%29=88cm%2F%28pi%29=28cm
radius=(1/2)d=(1/2)28cm=14cm ANSWER: The radius the circle is 14 cm.