Question

Find the area of the figure below. Round your answer to one decimal place.55Provide your answer below:square units12

Answer 1

We are asked to find the area of the given figure.

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

The area of a semicircle is given by

$A_{SC}=\frac{1}{2}\pi r^2$

The radius of the semicircle is 5 units.

$A_{SC}=\frac{1}{2}\pi(5)^2=39.3\;\;sq\;units$

The area of a triangle is given by

$A_T=\frac{1}{2}bh$

Where b is the base and h is the height of the triangle.

b = 10 units

h = 12 units

$A_T=\frac{1}{2}(10)(12)=60\;sq\;units$

The area of the whole figure is the sum of these two areas.

$\begin{gathered} A=A_{SC}+A_T \\ A=39.3+60 \\ A=99.3\;square\;units \end{gathered}$

Therefore, the area of the figure is 99.3 square units.