A triangle is inside a circle where the triangle's base is on the circle's diameter as shown. What is the area of the shaded region? Use 3.14 for π . Enter your answer…

Question

asked Oct 15, 2019 135k views

2 Answers

Crazyoxygen · Answer 1 · 2019-10-21T09:18:15+0000

Answer:
$136.96\ ft^2$

Explanation:

Given: A triangle is inside a circle where the triangle's base is on the circle's diameter .

Then the height of the triangle= radius of the circle.

Now, the radius of the circle=
$\frac{\text{diameter}}{2}=(16)/(2)=8\ \text{feet}$

Therefore,the height of the triangle=8 feet

Now, the Area of the shaded region=Area of circle-Area of triangle

$=\pi r^2-(1)/(2)bh$

$=3.14(8)^2-(1)/(2)(16)(8)\\=200.96-64\\=136.96\ ft^2$