Area of Shaded Region



Videos, worksheets, stories and songs to help Grade 7 students learn how to find the area of shaded region involving polygons and circles.

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 Polygons triangle, square, rectangle, parallelogram, rhombus, kite, trapezoid, regular polygon Area of Circle.

Example:

Calculate the shaded area:

area shaded region

Solution:
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


Calculate the area of shaded regions involving polygons. Worksheets
Calculate the area of shaded regions involving circles and polygons.
Worksheet 1 Worksheet 2
Worksheet 3  

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





Area and Circumference Examples
Some examples involving the area of triangles and circles. Also, some examples to find the area of a shaded region.



This video explains how to determine an area formula for a rectangular shaded region when the dimensions are given as variable expressions.







Finding the area of a shaded region between and inscribed circle and a square



Finding the area of a shaded region between a square inscribed in a 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.



GMAT - Find the Area of the Shaded Region







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