Question

I have no idea on this question. I need help

Answer 1

66.3 (no units included)

Step-by-step explanation

We want to find the area of the figure given.

The figure is a semi-circle.

The area of a semi-circle is half the area of a circle. Therefore, the area of a semi-circle is:

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

where r = radius.

We are given the diameter of the semi-circle to be 13 mm.

The diameter is twice the radius, which means that the radius is:

`\begin{gathered} r=(1)/(2)\cdot d \\ \Rightarrow r=(1)/(2)\cdot13 \\ r=6.5\text{ mm} \end{gathered}`

Therefore, the area of the semi-circle is:

`\begin{gathered} A=(1)/(2)\cdot3.14\cdot6.5^2 \\ A=66.3mm^2 \end{gathered}`

That is the area of the semi-circle.