Then, find the area of these individual shapes and add them up!

Find the area for each of those two shapes and add the results

Area

Area

Area

Area

Notice that the radius of the circle is 4/2 = 2

Area

Area

Area

Since you only have half a circle, you have to multiply the result by 1/2

1/2 × 12.56 = 6.28

Area of this shape = 16 + 6.28 = 22.28

Find the area for each of those three shapes and add the results

Area

Area

Area

Area

Area

Area

Area

Area

Area

Area

Area

Area

Area of this shape = 6 + 30 + 8 = 44

The area of irregular shapes can be as challenging as this last example, so study it carefully!

Find the area for each of those 4 shapes and add the results

Area

Area

Area

Since we have two of the same rectangle, the area is 192 + 192 = 384

Notice that the longest side of the rectangle is the base of the triangle and the short side of the rectangle is the height of the triangle

So,

Area

Area

Area

Area

To get the area of the half circle, we need to know the diameter

Notice that the diameter is the hypotenuse of a right triangle, so use the Pythagorean Theorem to find the length of the diameter

c

c

c

c

c = √400

c = 20

Therefore, the diameter is 20. Since the diameter is 20, the radius is 10

Area

Area

Area

Area

Since you only have half a circle, you have to multiply the result by 1/2

1/2 × 314 = 157

Area of this shape = 384 + 96 + 157 = 637

Here we go! I hope these good examples were very helpful in helping you how to get the area of irregular shapes.

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