Question

Please someone help me

Answer 1

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

$100.53+60=160.53$