Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is

4yd
.
Find the area of the shaded region. Use the value
3.14
for
π
, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

4yd x 2yd =Area of square 3.14yd = area of semicircle
8yd =

Area of shaded section is 8yd - 3.14yd
this gives an area of 4.86yd

4.86yd

Answer 2

assuming that the height of the rectangle is 2 (1/2 of 4)

radius=4/2=2

shaded=rectangle-semicircle
shaded=2*4-(1/2)pi2²
shaded=8-2pi
aprox
shaded=1.72

answer is 1.72yd²