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Bogdan [553]
3 years ago
15

Please someone help me

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

Area of semi-circle: 100.53 square meters

Area of triangle: 60 square meters

Total area: 160.53 square meters

Step-by-step explanation:

Area of semi-circle:

To find the area of a semi-circle, you have to find the area of the circle, then divide by 2.

The area of a circle is determined by the formula \pi * r^2

Here, we know that the diameter of the circle is 16m, so the radius (half the diameter) will be 8m.

\pi *8^2=\pi *64=201.06192...

Now divide the area in half, and get 100.5309...

The question asks you to round to the nearest hundreth, so your answer will be 100.53

Area of triangle:

The formula for the area of a triangle is \frac{b*h}{2}

Here, we have a base of 8m, but we don't know the height.

However, we do know the length of the other legs, so using the pythagorean theorem, a^2 + b^2 = c^2, we can insert 8 for a, and 17 for c, giving us the equation

8^2 + h^2 = 17^2\\64+h^2=289 \\h^2 = 225\\h=15

We now know the height is 15m, so if we plug this into our first equation, we get \frac{8*15}{2}, which is equal to 60

Total area:

To find the total area, we just have to add the area of the triangle to the area of the semi-circle

100.53+60=160.53

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