Circle Geometry Concepts and Calculations

The video tutorial explains how to determine the perimeter and area of a figure composed of semicircles, given that x equals 11 centimeters. It starts by identifying x as the radius and calculates the diameter. The perimeter is calculated by summing the lengths of diameters and arcs, using the formula 4 times the diameter plus 2 times pi times the diameter. The area is calculated by finding the area of two full circles using the formula 2 times pi times the radius squared. Exact and approximate values are provided for both perimeter and area.

What is the radius of the semicircle if x equals 11 centimeters?

• 44 cm

• 22 cm

• 11 cm

• 5.5 cm

How do you calculate the diameter if the radius is known?

• Multiply the radius by 2

• Divide the radius by 2

• Add 2 to the radius

• Subtract 2 from the radius

How many diameters are used in the perimeter calculation of the figure?

• 5

• 4

• 3

• 2

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

• pi times diameter

• pi times radius

• 2 times pi times diameter

• 2 times pi times radius

What is the exact perimeter of the figure in terms of pi?

• 88 + 44 pi

• 22 + 88 pi

• 44 + 88 pi

• 88 + 22 pi

What is the decimal approximation of the perimeter rounded to the hundredths place?

• 226.24

• 226.26

• 226.25

• 226.23

How many full circles are equivalent to the area of four semicircles?

• 1

• 2

• 3

• 4

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

• pi times diameter squared

• pi times radius squared

• 2 times pi times radius

• 2 times pi times diameter

What is the exact area of the figure in terms of pi?

• 121 pi

• 968 pi

• 484 pi

• 242 pi

What is the decimal approximation of the area rounded to the hundredths place?

• 760.28

• 760.27

• 760.26

• 760.25