+0

geometry

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50
2

In the diagram, O is the center of a circle with radii OP=OQ=15. What is the perimeter of the shaded region?

Feb 9, 2022

#1
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The ENTIRE perimeter of the complete circle would be 2πr (30π) so three-quarters of it will be 30π * 3 / 4 = 90π/4 = 45π/2

Feb 9, 2022
#2
+1365
+1

Your answer is incorrect guest. You need to account for the side lengths OQ and PO, each of which have a side length of 15.

The circumference of a complete circle would be $$30\pi$$, so the circumference of $$3 \over 4$$ of the circle would be $$22.5\pi$$

We also have to add 30 to the circumference, so the circumference is $$\color{brown}\boxed{22.5\pi+30}$$

Feb 9, 2022