Understanding the Area of a Semicircle

This video tutorial explains how to calculate the area of a semicircle. It begins by introducing the formula for the area of a semicircle, which is half the area of a full circle, or (1/2)πr². The video provides two examples: one using a given radius and another using a given diameter. The first example calculates the area with a radius of 4 feet, resulting in 25.13 square feet. The second example uses a diameter of 14 centimeters, converting it to a radius of 7 centimeters, and calculates the area as 76.97 square centimeters. The video concludes with a preview of upcoming content on finding the perimeter of a semicircle.

What is the radius of the semicircle given in the first problem?

• 2 feet

• 4 feet

• 6 feet

• 8 feet

Tags

CCSS.7.G.B.4

Which formula is used to calculate the area of a semicircle?

• 1/2 pi r squared

• 2 pi r

• pi r squared

• pi d

Tags

CCSS.7.G.B.4

What is the calculated area of the semicircle with a radius of 4 feet?

• 25.13 square feet

• 12.57 square feet

• 100.52 square feet

• 50.26 square feet

Tags

CCSS.3.MD.C.6

In what units is the area of the semicircle expressed?

• Feet

• Cubic feet

• Square feet

• Square inches

Tags

CCSS.7.G.B.4

What is the diameter of the semicircle in the second problem?

• 21 centimeters

• 28 centimeters

• 14 centimeters

• 7 centimeters

Tags

CCSS.7.G.B.4

How do you find the radius from the diameter?

• Subtract 2

• Add 2

• Divide by 2

• Multiply by 2

Tags

CCSS.7.G.B.4

What is the radius of the semicircle with a diameter of 14 centimeters?

• 3.5 centimeters

• 14 centimeters

• 7 centimeters

• 10.5 centimeters

Tags

CCSS.7.G.B.4

What is the calculated area of the semicircle with a radius of 7 centimeters?

• 153.94 square centimeters

• 76.97 square centimeters

• 307.88 square centimeters

• 38.48 square centimeters

Tags

CCSS.HSG.GMD.A.1

What value of pi is used in the calculations?

• 3.142

• 3.14159

• 3.1416

• 3.14

Tags

CCSS.7.G.B.4

What topic is mentioned as the next video content?

• Area of a full circle

• Perimeter of a semicircle

• Volume of a sphere

• Circumference of a circle

Tags

CCSS.7.G.B.4