Understanding Compound Shapes

This video tutorial explains how to calculate the perimeter and area of a compound shape, which consists of a rectangle and a semicircle. The instructor demonstrates the process of calculating the perimeter by breaking down the shape into its components and using the formula for the circumference of a circle. The video then covers the calculation of the area, using the formula for the area of a circle and a rectangle. The tutorial emphasizes the importance of understanding the properties of compound shapes and provides step-by-step guidance for solving similar problems.

What defines a compound shape?

• A shape with equal sides

• A shape with no angles

• A shape made of multiple simple shapes

• A shape with only curved edges

Tags

CCSS.7.G.B.4

Which formula is used to calculate the circumference of a circle?

• πr²

• s²

• 2πr

• l × w

Tags

CCSS.7.G.B.4

If the radius of a semicircle is 4 cm, what is the circumference of the semicircle?

• 25.1 cm

• 8 cm

• 12.6 cm

• 50.3 cm

Tags

CCSS.3.MD.D.8

What is the perimeter of the compound shape consisting of a rectangle and a semicircle?

• 88 cm

• 42.6 cm

• 50.3 cm

• 25.2 cm

Tags

CCSS.7.G.B.4

How do you calculate the area of a circle?

• l × w

• πr²

• 2πr

• s²

Tags

CCSS.7.G.B.4

What is the area of a semicircle with a radius of 4 cm?

• 50.3 cm²

• 88 cm²

• 42.6 cm²

• 25.2 cm²

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you find the area of a rectangle?

• Add all sides

• Multiply length by width

• Use 2πr

• Use πr²

Tags

CCSS.6.G.A.1

What is the total area of the compound shape?

• 113.2 cm²

• 50.3 cm²

• 25.2 cm²

• 88 cm²

Tags

CCSS.4.MD.A.2

What is the width of the rectangle in the compound shape?

• 11 cm

• 8 cm

• 12.6 cm

• 4 cm

Tags

CCSS.2.MD.B.5

What is the length of the rectangle in the compound shape?

• 12.6 cm

• 4 cm

• 11 cm

• 8 cm

Tags

CCSS.2.MD.B.5