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9 October, 02:08

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

2207 cm

What is the value of x?

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Answers (1)
  1. 9 October, 02:14
    0
    the area of a circle is πr²

    the outer circle area = π 4x²

    the inside circle area = π.6²=36π

    the outer circle area - the inside circle area = he shaded region

    π 4x² - 36π = 220π cm2 it implies x²-9 = 55 and x²=64, and x = sqrt (64) = 8

    the value of x is 8
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