The radii of two concentric circles differ in length by exactly 1 inch. If their areas differ by exactly 15𜋠square inches, find the lengths of the radii of the two circles in inches. smaller value = () inches larger value = () inches
Added by Matthew M.
Step 1
The area of a circle is given by the formula A=𝜋r^2. So the area of the smaller circle is 𝜋r^2 and the area of the larger circle is 𝜋(r+1)^2. We know that the difference in their areas is exactly 15𝜋 in^2, so we can set up an equation: 𝜋(r+1)^2 - 𝜋r^2 = Show more…
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