1 Answer

Esteve · Answer 1 · 2023-02-23T06:24:14+0000

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

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.

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