Question

Find the area of a semi-circle with diameter 28m. Round to the nearest tenth

Answer 1

307.7 m²

Step-by-step explanation:

The area of a semi-circle of radius r can be calculated as:

`A=(3.14* r^2)/(2)`

Then, the radius of a circle is half the diameter, so, the radius of the circle with a diameter of 28 m is:

`\text{radius}=\frac{\text{Diameter}}{2}=\frac{28\text{ m}}{2}=14\text{ m}`

Now, we can replace r by 14 m and get that the area of the semi-circle is:

`\begin{gathered} A=(3.14*(14m)^2)/(2) \\ A=(3.14*196m^2)/(2) \\ A=(615.44m^2)/(2) \\ A=307.7m^2 \end{gathered}`

Therefore, the area of the semi-circle with a diameter of 28m is 307.7 m²