Question

What is the area of the composite figure

Answer 1

C

Explanation:

To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.

Semi-circle:

The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into
`\pi r^2 = \pi 4^2 = 16\pi`. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is
`\pir^2 = \pi 2^2=4\pi`. The semi circle in the shape is the areas subtracted which equals 12π.

Rectangle:

The area of the rectangle is found using A = b*h = 2*5 = 10.

The total area is 12π + 10 meters squared.