Question

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 as a decimal in the box. ft² A circle of diameter 16 feet with a triangle inside with a base measuring the same as the diameter of the circle.

Answer 1

The answer is 136.96
I took the same test and I got this answer so I got 100%
Hope I helped you out!

Answer 2

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`