Question

What is the area of a semicircle with a diameter of 2? I need the answer and an explanation

Answer 1

A = 1.571 square units

Step-by-step explanation

The diameter of the semi-circle is 2 units.

To find the area, first we need the radius.

Radius is half the diameter, so:

Radius, r = D / 2

Radius, r = 2 / 2

r = 1 unit

The area of a semi-circle half that of a circle.

A circle's area is:

`A=\pi\cdot r^2^{}`

So, a semi-circle's area is:

`\begin{gathered} A\text{ = }(1)/(2)\pi\cdot r^2 \\ \Rightarrow\text{ A = }(1)/(2)\cdot\text{ }\pi\cdot1^2 \\ (\pi\text{ = 3.142}\ldots) \\ \Rightarrow\text{ A = 1.571 square units} \end{gathered}`

That is the area.