Question

What is the area of this figure

Answer 1

370.235 sq. inches

Step-by-step explanation:

1. Area of the figure is equal to the area of the triangle plus the area of the semicircle
2. The Area of the triangle = 1/2*base*height
3. The base on the bottom is clearly 27
4. The height is the same as the diameter of the circle, which is twice the radius, given to us as 9. Therefore, the diameter is 18.
5. Thus we get A(triangle) = 1/2*27*18 = 243
6. Now, the area of the semicircle = (pi*r^2)/2
7. The radius is given as 9, and we get, (pi*9^2)/2 = 127.235
8. The area of the figure is therefore, 243 + 127.235 = 370.235

Answer 2

370.2 inches^2

Explanation:

find the mass of the circle by taking the radius ( 9) square it and times it by pi then divide it by 2. Add that with the (27 times 18) divided by 2.