OML Search

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.

Related Topics:

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, like the examples below.


Calculate the shaded area:

area shaded region

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


How to Find the Area of a Rectangle Subtracted from Another Rectangle

Finding the Area of a Circle With Omitted 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


OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site

follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines

Math TutorsMath Tutors