OML Search

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:

**Solution:**

Area of inner square = 2 cm × 2 cm = 4 cm^{2}

Area of outer shape = (2 cm × 3 cm) + (10 cm × 3 cm)

= 6 cm^{2} + 30 cm^{2}

= 36 cm^{2}

Shaded area = area of outer shape – area of inner square

= 36 cm^{2} – 4 cm^{2}

= 32 cm^{2}

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.

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

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.