The picture contains two geometric objects: semicircle and right triangle
First, find the area of semicircle This is the formula for area of semicircle a = 1/2 × area of circle a = 1/2 × π × r²
Before we find the area, we should determine the value of r. Given from the question that the diameter is equals to 8 m. Radius (r) is half of diameter (d) r = 1/2 d r = 1/2 × 8 r = 4 m
Caculate the area a = 1/2 × π × r² a = 1/2 × 3.14 × 4² a = 1/2 × 3.14 × 16 a = 1/2 × 50.24 a = 25.12 m²
Second, find the area of the right triangle The formula is a = 1/2 × b × h
Given from the question that the base (b) is 12 m, and the height (h) is 8 m.
Calculate the area, input the value of b and h to the formula a = 1/2 × b × h a = 1/2 × 12 × 8 a = 1/2 × 96 a = 48 m²
Third, sum both area a = area of semicircle + area of right triangle a = 25.12 + 48 a = 73.12 m²