Question

Question 65

Find area of figure. Round to the nearest hundredth if necessary.
rectangle with circle taken out
5.0 m
10.4 m
(Use 3.1 4 for a.)

Answer 1

32.38 square m

Explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

`= l * b - 2 * (1)/(2) \pi {r}^(2) \\ \\ = 10.4 * 5 - \pi {r}^(2) \\ = 52 - 3.14 * {(2.5)}^(2) \\ = 52 - 3.14 * 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^(2) \\`