**Quote:**

In the figure above, arcs PR and QS are semicircles with centers at Q and R respectively. If PQ = 5, what" is the perimeter of the shaded region?

In GRE geometry questions, always look for logical estimation opportunities and solve for the easy shape or value first.

In this case we can see that

drawn shaded interior radius PQ =

undrawn radius QR =

drawn shaded radius RS, and each of those radii length = 5.

Then, we can solve of the straight portion of the figure which is PQ + RS = 10.

Look to the answer choices to see which include the value of 10 since the circle must include π.

Only Choice C includes the necessary value of 10, so select Choice C without even needing to spend the time calculating the included circumference which would have been 2πr = 2π x 5 = 10π.

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Stefan Maisnier

Director of Online Tutoring, MyGuru

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