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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asked Oct 23, 2019 158k views

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Martynas Jurkus · Answer 1 · 2019-10-30T06:44:43+0000

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

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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