The figure is divided into a semi circle and a trapezium. Thus, the area of the figure would be the sum of the area of the semicircle and the trapezium
The formula for finding the arae of a semicircle is expressed as
Area = 1/2 x pi x radius^2
From the figure,
radius = 3
pi = 3.14
Area of semicircle = 1/2 x 3.14 x 3^2
Area of semicircle = 14.13
The formula for finding the arae of a trapezium is expressed as
Area = 1/2(a + b)h
where
a and b are the length of the top and bottom
h is the height
From the figure,
a = 8, b = 11, h = 6
Area = 1/2(8 + 11)6
Area = 1/2(19)6
Area of trapezium = 57
Thus, the area of the figure is
14.13 + 57
= 71.13
Rounding to the nearest whole number,
the approximate area is 71 square units
