The sum of the areas of two circles is 80 square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

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12-02-2017
Mathematics

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The sum of the areas of two circles is 80 square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2017-02-22T07:58:48-05:00

MissPhiladelphia MissPhiladelphia

22-02-2017

The area of a circle is given or expressed as:

A = (pi)r^2

The sum of the areas of two circles is 80 square meters.

A1 + A2 = 80
(pi)r1^2 + (pi)r2^2 = 80

where r1 = 2r2

(pi)2r2^2 + (pi)r2^2 = 80
r2 = 2.91
r1 = 5.83

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