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In the figure shown, if

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by boomgoesthegmat » Thu May 19, 2016 3:44 pm

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In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?

A) 4
B) 3
C) 2
D) root3
E) root2

OA: C
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by [email protected] » Thu May 19, 2016 4:09 pm
Hi boomgoesthegmat,

This question can be solved by TESTing VALUES.

We're told that the area of the shaded region is 3 TIMES the area of the central circle...

Area of center = 1
Area of shaded region = 3(1) = 3
Area of FULL CIRCLE = 1+3 = 4

With those values....
Radius of center = 1
Radius of FULL CIRCLE = 2

The question asks how many times the circumference of the full circle is to the smaller circle...

Circumference of small circle = 2pi
Circumference of full circle = 4pi

Final Answer: C

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