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In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 288π cm². What is the value of x?
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In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 288π cm².

What is the value of x?

User Roel Van Nyen
by
7.4k points

1 Answer

4 votes
area of shaded region = area of outer circle - area of inner circle.

288pi = pi * (2x)^2 - pi * 6^2

288 = 4x^2 - 36

4x^2 = 324
x^2 = 81
x = 9 cms Answer
User Martynas Jurkus
by
8.2k points
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