logan3719 logan3719
  • 17-02-2024
  • Mathematics
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What is the area of the shape as shown below?
Leave your answer in terms of pi.

What is the area of the shape as shown below Leave your answer in terms of pi class=

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AsliTate AsliTate
  • 17-02-2024

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!

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