These lessons aid Grade 7 students learn how to discover the area the shaded an ar involving polygons and circles.

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**Related Pages**Area that Shaded an ar Worksheet Area Of polygons Area that Circles much more Geometry lessons Grade 7 math Lessons

Sometimes, you may be required to calculation the area that shaded regions. Usually, we would subtractthe area of a smaller inner form from the area the a larger outer form in order to find the areaof the shaded region. If any of the shapes is a composite shape then us would should subdivide itinto shapes that we have actually area formulas, favor the instances below.

### How To uncover The Area the The Shaded Region?

The following diagram gives an example of just how to uncover the area of a shaded region. Scrolldown the web page for much more examples and solutions.

Step 1: discover area of within shape.

Step 2: discover area of external shape.

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

**Example 2:** uncover the area the the shaded region:

**Solution:**Step 1: find area of within square = 2 centimeter × 2 cm = 4 cm2

Step 2: discover area of external shape = (2 centimeter × 3 cm) + (10 cm × 3 cm) = 6 cm2 + 30 cm2 = 36 cm2

Step 3: Area that shaded region = area of outer shape – area of within square = 36 cm2 – 4 cm2 = 32 cm2

**Worksheets on Finding areas Of Shaded Regions**Involving polygons Circles and Polygons 1 Circles and Polygons 2 Circles and Polygons 3

How To find The Area the Shaded region Of A Rectangle Within another Rectangle?

Step 1: uncover the area of the larger shape and also the smaller shape.

Step 2: Subtract the areas.

Step 3: create the units.

how To discover The Area the A Shaded region Of A Circle through An inscribed Triangle? Area and also Circumference ExamplesSome examples involving the area that triangles and circles. Also, some examples to find the area the ashaded region.

**Examples:**

**Example:** identify a formula for the area that the orange shaded region.

**Example:** In the figure, a one is inscriptions in a square.a. Find the area the the circle.b. Discover the area the the shaded region.

**Example:** In the diagram, the square ABCD is inscriptions in circle O with diagonal AC = 8. Uncover the number ofsquare units in the area of the shaded an ar in terms of π.

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Use area that sector and also area that segment.

GMAT - find The Area of The Shaded Region**Example:** viewed from the outside inward, the figure below depicts a square-circle-square-circle, each enclosedwithin the other. If the area the square ABCD is 2 square units, then which that the following expressesthe area of the darkened corners that square EFGH?

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