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)=(1)/(2)\pi r^2`

The radius of the semicircle is 5 units.

`A_(SC)=(1)/(2)\pi(5)^2=39.3\;\;sq\;units`

The area of a triangle is given by

`A_T=(1)/(2)bh`

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

b = 10 units

h = 12 units

`A_T=(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.