Circle Geometry and Perimeter Problems

The video tutorial explains how to find the perimeter of a figure composed of a semicircle and a square. It begins by identifying the lengths of the square's sides, all measuring two centimeters. The semicircle's length is calculated as half the circumference of a full circle, using the formula πr, where the radius is one centimeter. Finally, the perimeter is determined by adding the lengths of the square's sides and the semicircle, resulting in a total of six plus π centimeters.

What is the main objective of the problem discussed in the video?

• To determine the volume of a cube

• To calculate the perimeter of a figure

• To find the area of a semicircle

• To measure the diameter of a circle

If one side of a square is 2 cm, what is the length of the other sides?

• 3 cm

• 2 cm

• 4 cm

• 1 cm

What is a key property of a square?

• All sides are different lengths

• It has no right angles

• All sides are equal in length

• It has three sides

What is the formula for the perimeter of a square?

• 4 times the side length

• 2 times the side length

• Side length squared

• Side length cubed

How is a semicircle related to a full circle?

• It is twice the size of a circle

• It is half of a circle

• It is the same as a circle

• It is one-fourth of a circle

What is the formula for the circumference of a full circle?

• πr

• 2πr

• πd

• r²

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

• 0.5 cm

• 1 cm

• 3 cm

• 2 cm

How do you calculate the arc length of a semicircle?

• πr

• 2πr

• πd

• r²

What is the arc length of a semicircle with a radius of 1 cm?

• π cm

• 2π cm

• π/2 cm

• 2 cm

What is the diameter of the full circle if the semicircle's radius is 1 cm?

• 3 cm

• 2 cm

• 1 cm

• 0.5 cm