Question

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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 cm^2.

What is the value of x?

Enter your answer in the box.

x = ______ cm

Answer 1

@Vocaloid

Answer 2

area of big circle - area of small circle = shaded region

area of circle = pir^2

so the area of the big circle is pi(2x)^2
area of small circle = pi(6)^2

pi(2x)^2 - pi(6)^2 = 288 solve for x

Answer 3

12

Answer 4

@Vocaloid

Answer 5

check your calculations again