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.)

Question 65 Find area of figure Round to the nearest hundredth if necessary rectangle with circle taken out 50 m 104 m Use 31 4 for a class=

Respuesta :

Answer:

32.38 square m

Step-by-step 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

[tex] = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ [/tex]