Sometimes, you may be required to calculate the area of shaded regions.
Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region. If any of the shapes is a composite shape then we would need to subdivide it into shapes that we have area formulas, for example
|Area of Polygonstriangle, square, rectangle, parallelogram, rhombus, kite, trapezoid, regular polygon||Area of Circle.|
Calculate the shaded area:
Area of inner square = 2 cm × 2 cm = 4 cm2
Area of outer shape = (2 cm × 3 cm) + (10 cm × 3 cm)
= 6 cm2 + 30 cm2
= 36 cm2
Shaded area = area of outer shape – area of inner square
= 36 cm2 – 4 cm2
= 32 cm2
|Worksheet 1||Worksheet 2|
How to Find the Area of a Rectangle Subtracted from Another Rectangle
How to Find the Area of a Circle When Omitting an Inscribed Triangle
A general formula to calculate the area between a square and an inscribed circle.
This video shows how to find the area of a shaded region in a circle. It uses area of sector and area of segment.
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