Question

Find the area of the figure

Answer 1

145.1327

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 (
`base*height`)

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), (
`A=((pi)r^2)/(2)`). 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

`((pi)((8)/(2))^2)/(2)`

`=((pi)(4)^2)/(2)`

`=((pi)16)/(2)`

`=8(pi)`

~25.1327

Now add up the two values,

120 + 25.1327

= 145.1327