Arc Length

Front

What is the formula for arc length?

Back

The arc length (L) can be calculated using the formula: L = r * θ, where r is the radius and θ is the angle in radians.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees * (π/180).

Front

What is the relationship between the radius and the diameter of a circle?

Back

The diameter (d) is twice the radius (r): d = 2r.

Front

If the radius of a circle is 10 inches, what is the circumference?

Back

The circumference (C) can be calculated using the formula: C = 2πr. For r = 10 inches, C = 20π inches.

Front

What is the arc length of a circle with a radius of 5 feet and an angle of 90 degrees?

Back

First, convert 90 degrees to radians: 90 * (π/180) = π/2. Then, use the formula: L = r * θ = 5 * (π/2) = (5π/2) feet.

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, typically defined by an angle less than 180 degrees.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, typically defined by an angle greater than 180 degrees.

Front

How do you find the length of an arc given the central angle in degrees?

Back

Convert the angle to radians and then use the formula: L = r * θ.

Front

What is the arc length of a circle with a radius of 12 inches and a central angle of 270 degrees?

Back

Convert 270 degrees to radians: 270 * (π/180) = (3π/2). Then, L = 12 * (3π/2) = 18π inches.

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) can be calculated using the formula: C = 2πr.