Question

Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for . 47.3 units2 41.1 units2 57.1 units2 66.2 units2

Answer 1

Answer:

41.1 units²

Step-by-step explanation:

The given figure is composed of a semicircle and a triangle.

The diameter of the circle = the base of the triangle = the distance between point D and point F on the x-axis.

Therefore,

Diameter (d) of circle = 8 units

Radius of circle = $\frac{diameter}{2} = \frac{8}{2}$

$radius (r) = 2$

Base of triangle = 8 units

The height of the triangle = the perpendicular distance between point E and segment DF on the y-axis

Height of triangle = 4 units

=>Area of the figure = area of triangle + area of semicircle

Area of figure = $\frac{1}{2}bh + \frac{1}{2}*pie*r^2$

$= \frac{1}{2}*8*4 + \frac{1}{2}*3.14*4^2$

$= \frac{1}{2}*32 + \frac{1}{2}*50.24$

$= 16 + 25.12$

$= 41.12$

Area of the figure = 41.1 units² (to the nearest tenth)