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

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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.

**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}

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.