What is the area of the shape as shown below?
Leave your answer in terms of pi.
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Answer: 64π + 128
Step-by-step explanation:
To find out the area of the 2 semicircles, the formula is πr^2.
We need to find out the radius.
The diameter is 16 so the radius must be 8 since the radius is always the half of diameter.
Substitute the radius into the formula as shown:
π * 8^2
= 64π
Now, we need to work out the area of the triangle.
The formula for the triangle is (b * h) / 2
Substitute your values.
(16 * 16) / 2
= 256 / 2
= 128
Now add the area of the semicircles and triangle:
64π + 128
Hope this helps!