136k views
3 votes
Find the area of the composite figure shown to the nearest half unit using 3.14 for pie

Find the area of the composite figure shown to the nearest half unit using 3.14 for-example-1

1 Answer

4 votes

Given:

The composite figure consists of a rectangle and a semi-circle

The area of the figure = area of the rectangle - area of the semi-circle

The area of the rectangle:

Length = 9 cm

Width = 3 cm

Area = length x width = 9 x 3 = 27 cm²

Area of the semi-circle:

Radius = 3/2 cm

Area =


(1)/(2)\cdot\pi\cdot r^2=(1)/(2)\cdot3.14\cdot((3)/(2))^2=3.5325\operatorname{cm}^2

So, the area of the figure =


27-3.5325=23.4675

Rounding to the nearest half unit

So, the answer will be the area = 23.5 cm²

User Danielg
by
7.2k points