Composite Figures (shaded region)

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple geometric shapes, such as rectangles, triangles, and circles.

Tags

CCSS.1.G.A.2

Front

How do you find the area of a composite figure?

Back

To find the area of a composite figure, calculate the area of each simple shape separately and then sum those areas.

Tags

CCSS.3.MD.C.7D

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = (base × height) / 2.

Tags

CCSS.6.G.A.1

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula: Area = π × radius².

Tags

CCSS.7.G.B.4

Front

How do you calculate the area of a shaded region?

Back

To calculate the area of a shaded region, find the area of the larger shape and subtract the area of the unshaded part.

Tags

CCSS.3.MD.C.7D

Front

What is the significance of using π in area calculations?

Back

π (pi) is a constant used in calculations involving circles, approximately equal to 3.14.

Tags

CCSS.7.G.B.4

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?

Back

Area = 10 cm × 5 cm = 50 cm².

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If a triangle has a base of 8 cm and a height of 5 cm, what is its area?

Back

Area = (8 cm × 5 cm) / 2 = 20 cm².

Tags

CCSS.6.G.A.1

Front

If a circle has a radius of 7 cm, what is its area?

Back

Area = π × (7 cm)² ≈ 3.14 × 49 cm² ≈ 153.86 cm².

Tags

CCSS.7.G.B.4