Question

Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate Pi.

Answer 1

Answer:

 $26.13ft^2$

Step-by-step explanation:

Step  1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:

4 x 3 = 12

Which is the area of the triangles.

Step 2 - Calculating the area of a circle uses the formula:

$\pi r^2$

Where r is the radius of the circle.

Plug the known variables in:

$\pi \cdot 3^2\\\pi \cdot 9\\3.14 \cdot 9 = 28.26$

However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:

28.26 ÷ 2 = 14.13

Now, add the area of the semi-circle to the area of the triangles:

14.13 + 12 = 26.13

Therefore, the area of the figure is $26.13ft^2$.

Hope this helps!