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

Answer: $136.96\ ft^2$

Step-by-step 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=$\frac{\text{diameter}}{2}=\frac{16}{2}=8\ \text{feet}$

Therefore,the height of the triangle=8 feet

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

$=\pi r^2-\frac{1}{2}bh$

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

Answer 2

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