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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?

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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 cm2 What is the value o class=

Respuesta :

Area of shaded region  = area of the outer circle - area of inner circle

So,  substituting:-

pi * (2x)^2 - 6^2 * pi  =  288 pi  The pi's are common so:-

4x^2 - 36 = 288
4x^2 = 324

x^2 = 81

x = 9 cm answer
oghomeschoolerbw

Area of shaded region  = area of the outer circle - area of inner circle

So,  substituting:-

pi * (2x)^2 - 6^2 * pi  =  288 pi  The pi's are common so:-

4x^2 - 36 = 288

4x^2 = 324

x^2 = 81

x = 9 cm answer

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