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 364π cm2. What is the value of x?
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Step-by-step explanation:
A=( area of outer circle)-( area of inner circle)
area of outer circle
A=πr²
A=π(2x)²=4x²π
area of inner circle
A=π×6²=36π
thus the shaded area will be
4x²π-36π=364π
4x²π=400π
4x²=400
x²=100
x=√100
x=10cm
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