# Area of Shaded Region

Videos, worksheets, and solutions 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.

**How to find the area of the shaded region?**
Step 1: Find area of inner shape

Step 2: Find area of outer shape

Step 3: Area of shaded region = area of outer shape – area of inner shape

**Example:**

Find the area of the shaded region:

**Solution:**

Step 1: Find area of inner square = 2 cm × 2 cm = 4 cm^{2}

Step 2: Find area of outer shape = (2 cm × 3 cm) + (10 cm × 3 cm)

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

= 36 cm^{2}

Step 3: Area of shaded region = area of outer shape – area of inner square

= 36 cm^{2} – 4 cm^{2}

= 32 cm^{2}

#### 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

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.