Arc Length and Circle Properties

The video tutorial explains how to visualize and calculate the arc length of a circle with a central angle of 120° and a diameter of 10. It covers the formula for circumference and how to find the fraction of the circumference that corresponds to the arc length. The process involves simplifying the fraction to get the exact arc length, which is calculated as 10π/3.

What is the central angle of the circle in the problem?

• 60°

• 180°

• 120°

• 90°

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

• 15

• 2

• 5

• 10

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

• 2πd

• 2πr

• πd

• πr²

What is the circumference of a circle with a diameter of 10?

• 15π

• 20π

• 5π

• 10π

What fraction of the circle's circumference corresponds to the arc length?

• 1/6

• 1/4

• 1/3

• 1/2

How do you express 120/360 as a simplified fraction?

• 1/6

• 1/4

• 1/3

• 1/2

What is the exact arc length of the circle?

• 10π/4

• 10π/6

• 10π/2

• 10π/3

What is the relationship between the arc length and the circumference?

• Arc length is equal to the circumference

• Arc length is double the circumference

• Arc length is a fraction of the circumference

• Arc length is half the circumference

If the central angle was 180°, what fraction of the circumference would the arc length be?

• 1/2

• 1/6

• 1/3

• 1/4

What is the formula for the arc length of a circle?

• θ/360 * 2πr

• θ/180 * 2πr

• θ/180 * πd

• θ/360 * πd