Question

Find the area of the figure to the nearest tenth if the diameter of the semi circle is 3 meters

Answer 1

21.53 = 21.5 (nearest tenth)

Explanation:

Area of rect + area of triangle + area of semi-circle

(5x3)+(3x2/2)+(pi 1.5^2/2)

15+3+3.53

Answer 2

21.5 square meters

Explanation:

Area of the figure = area of the trapezium + area of semicircle

Semicircle:

Diameter = 3 m

Radius r = 3/2 = 1.5 m

`Area = (\pi r^(2))/(2)\\\\=(3.14*1.5*1.5)/(2)\\\\=(7.065)/(2)\\\\=3.5325`

= 3.53 m²

Tapezium:

base a = 7 m & b = 5 m

Height = 3 m

`Area=((a+b)h)/(2)\\\\=((7+5)*3)/(2)\\\\=(12*3)/(2)\\\\=6*3`

= 18 m²

Area of the figure = 3.53 + 18 = 21.53 = 21.5 square meters