Question

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?

Answer 1

Answer:

$185.43 mm^2$

Step-by-step explanation:

Radius of semicircle = 8.5 mm

Area of semicircle = $\frac{\pi r^2}{2}$

                              = $\frac{3.14 (8.5)^2}{2}$

                              = $113.4325 mm^2$

Area of triangle = $\frac{1}{2} \times Base \times Height$

Area of triangle in figure= $\frac{1}{2} \times 12 \times 12$

                                       = $72 mm^2$

So, Area of the figure = Area of semicircle +Area of triangle

                                    = $113.4325 mm^2+72 mm^2$

                                    = $185.43 mm^2$

Thus Option B is correct.

Hence the total area of the composite figure rounded to the nearest hundredth is $185.43 mm^2$

Answer 2

The area is : 226.865

Rouded off : 230