Perimeter of Composite Shapes

This video tutorial explains how to find the perimeter of semicircles and composite figures. It covers the basic concept of semicircles, demonstrates calculations using examples, and explores composite shapes involving semicircles and quarter circles. The tutorial provides step-by-step guidance on using diameter and radius to calculate perimeters, emphasizing the importance of understanding the relationship between circumference and diameter.

What is the perimeter of a semicircle composed of?

• The full circumference and the radius

• The full circumference and the diameter

• Half the circumference and the radius

• Half the circumference and the diameter

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CCSS.HSG.C.B.5

If the diameter of a semicircle is 6, what is the length of the arc?

• 9.42

• 18.84

• 12.56

• 3.14

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CCSS.7.G.B.4

How do you calculate the perimeter of a semicircle if the radius is given?

• Multiply the radius by pi, divide by two, and add the diameter

• Multiply the radius by two and add the radius

• Multiply the radius by pi and add the radius

• Multiply the radius by two, divide by pi, and add the diameter

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CCSS.1.G.A.2

What is a composite shape?

• A shape with no straight sides

• A shape with only curved sides

• A shape made of multiple figures

• A shape made of a single figure

In a composite shape made of squares and semicircles, how do you calculate the total perimeter?

• Multiply the perimeter of one square by the number of semicircles

• Add the perimeters of all squares and subtract the semicircles

• Add the perimeters of all squares and semicircles

• Add the perimeters of all squares and multiply by two

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CCSS.7.G.B.4

If a composite shape has a diameter of 6 for its semicircles, what is the circumference of the full circle?

• 18.84

• 12.56

• 9.42

• 6.28

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CCSS.HSG.C.B.5

How do you calculate the arc length of a quarter circle?

• Multiply the diameter by pi and divide by four

• Multiply the radius by pi and divide by two

• Multiply the diameter by pi and divide by two

• Multiply the radius by pi and divide by four

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CCSS.1.G.A.2

In a composite shape with quarter circles, what is the relationship between two quarter circles?

• They form a square

• They form a semicircle

• They form a triangle

• They form a full circle

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CCSS.7.G.B.4

If the radius of a quarter circle is 2, what is the diameter of the full circle?

• 2

• 6

• 4

• 8

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CCSS.3.MD.D.8

What is the total perimeter of a composite shape with straight sides totaling 20 and a semicircle with a diameter of 10?

• 40.7

• 30.7

• 35.7

• 25.7

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CCSS.3.MD.D.8