Question

Find the area of the shaded region to the nearest tenth.

Answer 1

Check the picture below.

so we have a circle with a radius of 6 and a triangle inside it with a base of 10.39 and a height of 6+3.

if we just get the whole area of the circle and then subtract the area of the triangle, what's leftover is the shaded area.

`\stackrel{ \textit{\LARGE Areas} }{\stackrel{circle}{\pi (6)^2}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{10.39})(\underset{h}{6+3})}}\implies 36\pi -46.755 ~~ \approx ~~ \text{\LARGE 65.3}~ft^2`

Answer 2

First, find the area of the full circle. The radius is 6ft, so do the calculation of...

πx6²≈113.10

Now, find the area of the triangle. Use the formula bh/2.

10.39x9/2=46.755

Round to the nearest hundredth.

45.755→45.76

Now, subtract the area of the triangle from the area of the circle.

113.1-45.76=67.34

Finally, round to the nearest tenth.

67.34→67.3