Answer:
946.19 cm²
Explanation:
Ok, we are going to split the shape into the semi-circle and the trapezoid:
Semi-Circle:
Here's the formula for the area circle: πr²
Because the semi-circle is just half of a circle, the area of a semi-circle :
(πr²) ÷2
Step 1: Input Information
The radius (r) is 1/2 the diameter (a) of the circle
Radius = 1/2(24) = 12
Now we have enough info to solve for the Area
Step 2: Solve for Area
A = (12²π) ÷2
A = (144π) ÷2
A = 72π
A ≈ 226.19
Area semi-circle is 226.19 cm²
Trapezoid
The formula for the area of a trapezoid is : h(b1 + b2) ÷ 2
The height (h) over here is c, or 24 cm
The base 1 (b1) is a, or 24 cm
The base 2 (b2) is b, 36 cm
Step 1: Input Information
Our new equation becomes:
A = c(a + b) ÷ 2
A = 24(24 + 36) ÷2
Step 2: Solve for area
A = 24(24 + 36) ÷ 2
A = 24(60) ÷ 2
A = 24(30)
A = 720
Area of the trapezoid is 720 cm²
Total Area:
Now, we just simply add the two values together
226.19 cm² + 720 cm² = 946.19 cm²
-Chetan K