Question

a feature was created using a triangle and a semicircle . use the ruler provided to measure the dimensions of the triangle and semicircle to the nearest centimeter . which measurement is closest to the area of the feature in square centimeters .

Answer 1

The area of a circle is given by:

`\begin{gathered} A=r^2\pi \\ \text{Where:} \\ r=(8)/(2)=4 \\ \text{ Since it is a semicircle, the area is:} \\ A=(4^2\pi)/(2)=8\pi \end{gathered}`

And the area of the triangle is:

`\begin{gathered} A=(b\cdot h)/(2) \\ \text{where:} \\ b=8 \\ h=7 \\ A=(8\cdot7)/(2)=28 \end{gathered}`

Therefore, the total area is: