Correct Answer: Option C

Explanation

Perimeter = OP + OQ + PQ

= 8 + 8 + PQ

length PQ = \(\frac{\theta}{360 \times 2\pi r}\)

= \(\frac{45}{360}\) x 2 x \(\pi\) x 8

= 2\(\pi\)

Perimeter of sector 2r + L

Where l = length of arc and r = radius

∴ P = 2(8) + 2\(\pi\)

= 16 + 2\(\pi\)

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