Question

PLEASE HELP ME ASAP!!! DONT UNDERSTAND!!! Find the area of the shaded region

Answer 1

The area of the shaded region is equal to the area of the total circle minus the area of the triangle: 
$A_{shade}=A_{circle}-A_{triangle}$

Substitute known area formulas:
$A_{shade}=(\pi r^{2})-(\frac{b\times h}{2})$

The area of the triangle is given, so we don't actually need to compute it using the formula; we can just start substituting known values:
$A_{shade}=(\pi5^{2})-(18.75\sqrt{3})$

Simplify and solve:
$A_{shade}=(25\pi)-((18.75)(1.73))$
$A_{shade}=78.5-32.4375$
$A_{shade}=46.06$

Answer 2

To find the area of the shaded region, we need to find the area of the entire circle, and then subtract the are of the triangle (which has been provided). The formula for finding area of a circle is pi*r^2, or in this case 3.14*r^2, where r is the radius. With this in mind, we just need to substitute in 5 for the radius.

3.14*5^2
3.14*25
78.5

Now we have the area of the circle, so we must simplify the area of the triangle.

18.75*1.73
32.4375

Since we have both the area of the triangle and the area of the circle, we can simply subtract the triangle from the circle (because the triangle is not shaded)

78.5000
32.4375
46.0625

Since we approximated for pi and sqrt3, we must say the area of the shaded area is approximately 46.0625 square feet.