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kolbaska11 [484]
3 years ago
9

What is the area of the composite figure

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

Answer:

C

Step-by-step 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.

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