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1 vote
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?
Enter your answer in the box.

User Jacmkno
by
4.7k points

1 Answer

4 votes

Answer:

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

User CarelZA
by
5.0k points