Area of Irregular Figures Worksheet
Calculate the area of irregular figures by decomposing them into simpler geometric shapes. Includes composite figures, shaded regions, and coordinate geometry applications.
Includes
Standards
Area of Irregular Figures
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Read each question carefully and show all your work. You may decompose irregular figures into simpler shapes to find their areas.
1. Find the area of the following composite figure. All angles are right angles.
Area:
2. Calculate the area of the shaded region, where a circle is cut out of a square. The square has a side length of 10 units, and the circle has a radius of 3 units.
Area:
3. To find the area of an irregular figure, you can often it into simpler geometric shapes like , , and .
4. The formula for the area of a trapezoid is .
5. Plot the following vertices on the coordinate plane and calculate the area of the polygon: A(1,1), B(5,1), C(5,4), D(3,4), E(3,6), F(1,6).
Area:
6. Which method is generally NOT used to find the area of an irregular figure?
Decomposition into rectangles and triangles
Using Pick's Theorem for polygons on a grid
Direct application of the area formula for a regular polygon
Subtracting areas of cut-out shapes from a larger shape