Question

Find the perimeter of the composite figure using pi

Answer 1

(3 +1.5π) ft ≈ 7.71 ft

Explanation:

We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:

P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference

P = d(1 +π/2)

P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π

The perimeter of the figure is about 7.71 feet.

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In terms of pi, the perimeter is ...

P = (3 +1.5π) ft