Question

Find the perimeter of the following figure with the indicated dimensions.

Answer 1

Givens.

• The diameter of the semi-circle is 9.25 yd.

,

• The other two sides of the triangle are 6.83 yd and 8.66 yd long.

First, find the perimeter of the semi-circle using the circumference formula.

`\begin{gathered} C_{\text{semi}}=(\pi\cdot d)/(2)=(\pi\cdot9.25yd)/(2) \\ C_{\text{semi}}\approx14.52yd \end{gathered}`

Second, add the two sides of the triangle to the circumference of the semi-circle.

`\begin{gathered} P=14.52yd+6.83yd+8.66yd \\ P=30yd \end{gathered}`

Therefore, the perimeter of the figure is 30 yards.