Circle Geometry Concepts

The video tutorial reviews key concepts related to circles, including parts like the center, diameter, radius, and chord. It explains how to calculate the circumference and area of a circle, providing examples for each. The tutorial also covers how to find the diameter and radius from a given circumference and demonstrates calculating the shaded area between a square and a circle. The video aims to prepare students for an upcoming quiz on these topics.

What is the term for a line segment that passes through the center of a circle and connects two points on the circle?

• Radius

• Tangent

• Chord

• Diameter

If the radius of a circle is 5 cm, what is the diameter?

• 15 cm

• 20 cm

• 10 cm

• 5 cm

Which formula can be used to calculate the circumference of a circle?

• radius * diameter

• pi * diameter

• pi * radius^2

• 2 * pi * radius

A circle has a radius of 7 cm. What is its circumference using pi as 3.14?

• 43.96 cm

• 28 cm

• 21.98 cm

• 14 cm

What is the formula for the area of a circle?

• 2 * pi * radius

• pi * diameter

• radius * diameter

• pi * radius^2

If a circle has a diameter of 10 cm, what is its area using pi as 3.14?

• 314 cm^2

• 50 cm^2

• 31.4 cm^2

• 78.5 cm^2

Given a circumference of 31.4 cm, what is the diameter of the circle using pi as 3.14?

• 5 cm

• 10 cm

• 15 cm

• 20 cm

If the circumference of a circle is 62.8 cm, what is the radius using pi as 3.14?

• 10 cm

• 15 cm

• 5 cm

• 20 cm

In a problem involving a square and a circle, if the side of the square is 10 cm, what is the area of the square?

• 50 cm^2

• 100 cm^2

• 200 cm^2

• 150 cm^2

If the diameter of a circle is 10 cm, what is the radius?

• 10 cm

• 2.5 cm

• 5 cm

• 7.5 cm