Question

Use the image to answer the question.

A rectangle measures 4 inches in height and 10 inches in length. A semicircle is drawn at the right end of a rectangle, sharing a 4-inch side. A point is drawn at the center of the shared side.

Find the area of the figure. Use π=3.14
and round your answer to the nearest hundredth if required.

(1 point)
in.2

Answer 1

Rectangle area = 4 × 10 = 40 in².
Semicircle radius = 4/2 = 2 in, area = 1/2 · π · 2² = 1/2 · π · 4 = 2π ≈ 2·3.14 = 6.28 in².
Total area = 40 + 6.28 = 46.28 in².