Calculating the Perimeter of a Semicircle

The video tutorial explains how to calculate the perimeter of a semicircle using both the diameter and the radius. It begins by introducing the concept of a semicircle and its perimeter, then details the formula for finding the perimeter using the diameter: half the circumference of a full circle plus the diameter. The tutorial also covers how to use the radius to find the perimeter by converting the radius to diameter and applying the same formula. The video concludes with a summary of the methods and emphasizes the importance of understanding the relationship between diameter, radius, and circumference.

What is the formula to calculate the perimeter of a semicircle using its diameter?

• Perimeter = (Pi * Diameter) / 2

• Perimeter = Pi * Diameter

• Perimeter = (Pi * Diameter / 2) + Diameter

• Perimeter = Diameter / 2

Tags

CCSS.7.G.B.4

If the diameter of a semicircle is doubled, how does the perimeter change?

• It doubles

• It remains the same

• It halves

• It quadruples

Tags

CCSS.7.G.B.4

What additional length must be added to half the circumference to find the perimeter of a semicircle?

• The radius

• The diameter

• Twice the diameter

• Half the diameter

Tags

CCSS.7.G.B.4

If the diameter of a semicircle is 8 meters, what is the half of its circumference?

• 4 Pi meters

• 16 Pi meters

• 8 Pi meters

• 2 Pi meters

Tags

CCSS.7.G.B.4

Approximately how long is the perimeter of a semicircle with an 8-meter diameter?

• 20.57 meters

• 12.57 meters

• 25.13 meters

• 15.71 meters

Tags

CCSS.7.G.B.4

What is the relationship between the diameter and radius of a circle?

• Radius is twice the diameter

• Radius is half the diameter

• Diameter is twice the radius

• Diameter is half the radius

Tags

CCSS.7.G.B.4

Using a radius of 5 feet, what is the simplified perimeter formula for a semicircle?

• Perimeter = 5 * (2 + Pi)

• Perimeter = Pi * (2 * 5) / 2 + 10

• Perimeter = (Pi * Radius) + (2 * Radius)

• Perimeter = (Pi * 2 * Radius) / 2 + 2 * Radius

Tags

CCSS.7.G.B.4

What is the exact perimeter of a semicircle with a 5-foot radius?

• 5 + 10 Pi feet

• 10 Pi + 5 feet

• 10 + 5 Pi feet

• 5 Pi + 5 feet

Tags

CCSS.3.MD.D.8

How does the perimeter formula for a semicircle change when using the radius instead of the diameter?

• It simplifies by canceling out terms

• It involves dividing the Pi term by 2

• It includes multiplying the radius by Pi

• It remains the same

Tags

CCSS.7.G.B.4

What is the approximate perimeter of a semicircle with a 5-foot radius?

• 25.71 feet

• 30.85 feet

• 20.57 feet

• 15.92 feet

Tags

CCSS.3.MD.D.8