SOLUTION: the length of a rectangle is twice as long as the radius of a circle. You want the area of the rectangle to equal the area of the circle. a) in terms of the circle's radius, find t

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Question 835336: the length of a rectangle is twice as long as the radius of a circle. You want the area of the rectangle to equal the area of the circle. a) in terms of the circle's radius, find the width of the rectangle. write the answer in simplified form.
b)Find ratio of radius of the circle to the width of rectangle.

Answer by reviewermath(1029) About Me  (Show Source):
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The length of a rectangle is twice as long as the radius of a circle. You want the area of the rectangle to equal the area of the circle.
a) in terms of the circle's radius, find the width of the rectangle. write the answer in simplified form.
Area of circle = pi%2Ar%5E2
width of rectangle = (Area of circle)/(Length of rectangle)
= pi%2Ar%5E2%2F2r
= highlight%28pi%2Ar%2F2%29

b)Find ratio of radius of the circle to the width of rectangle
ratio = r%2F%28pi%2Ar%2F2%29 = highlight%282%2Fpi%29