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Juliette [100K]
3 years ago
12

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 regi

on is 220π cm2. What is the value of x? Enter your answer in the box.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
The area of a circle is <span>πr²
the outer circle area = </span><span>π 4x²
the inside circle area = </span>π.6²=36<span>π
</span>the outer circle area - <span>the inside circle area = </span><span>he shaded region
</span>π 4x² - 36π =<span>220π cm2 it implies x²-9 =55 and x²=64, and x =sqrt(64)=8
the value of x is 8</span>
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