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What’s the area of this figure? I need help finding the area of the semicircle then the whole thing

What’s the area of this figure? I need help finding the area of the semicircle then-example-1
User Beyond
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1 Answer

3 votes

Answer:

219.25 km^2.

Explanation:

We can split this into 2 rectangles and 1 semicircle.

The area of the longer rectangle whose longest side is , at the bottom, 21 km and width 6 km = 21 * 6 = 126 km^2.

Area of the smaller rectangle = 6 * 9 = 54 km^2.

The diameter of the semicircle = 6 + 9 - 9 + 4 = 10 km so its radius is 5 km.

The area of the semicircle = 1/2 pi r^2

= 1/2 * 3.14 * 5^2

= 39.25 km^2.

So the area of the whole figure = 126 + 54 + 39.25

= 219.25 km^2.

User Nubkadiya
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