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Elementary Geometry for College St...
Solutions
Elementary Geometry for College St...
The radii of two concentric circles differ in length by exactly 1 in. If their areas differ by exactly 7π in2, find the lengths of the radii of the two circles.
To Find:
The lengths of radii of two concentric circles.
Two circles with a common center are called concentric circles.
Calculation:
Let the length of the radius of the inner circle is
The area of the inner circle is
The length of the radius of the outer circle is 1 in higher than the inner circle.
Therefore, the radius of the outer circle is
The area of the outer circle is.
Now it becomes
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