Answer:
145.1327
Step-by-step explanation:
Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).
Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])
8 * 15 = 120
Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve
[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]
[tex]=\frac{(pi)(4)^2}{2}[/tex]
[tex]=\frac{(pi)16}{2}[/tex]
[tex]=8(pi)[/tex]
~25.1327
Now add up the two values,
120 + 25.1327
= 145.1327
