Arc Length - Hoover

Front

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

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.

Tags

CCSS.HSG.C.B.5

Front

How do you convert degrees to radians?

Back

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

Tags

CCSS.HSF.TF.A.1

Front

If the radius of a circle is 5 cm and the angle is 60 degrees, what is the arc length?

Back

First, convert 60 degrees to radians: 60 × (π/180) = π/3. Then, use the formula: L = r * θ = 5 * (π/3) = (5π/3) cm.

Tags

CCSS.HSG.C.B.5

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that is smaller than a semicircle, meaning it subtends an angle of less than 180 degrees at the center of the circle.

Front

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

Back

The arc length is directly proportional to the radius; as the radius increases, the arc length increases for a given angle.

Tags

CCSS.HSG.C.B.5

Front

How do you find the length of a minor arc given the radius and the angle in degrees?

Back

Convert the angle from degrees to radians, then use the formula: L = r * θ.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of a full circle in radians?

Back

A full circle measures 2π radians.

Tags

CCSS.HSF.TF.A.1

Front

If a circle has a radius of 10 cm and a minor arc measures 90 degrees, what is the length of the arc?

Back

Convert 90 degrees to radians: 90 × (π/180) = π/2. Then, L = r * θ = 10 * (π/2) = 5π cm.

Tags

CCSS.HSG.C.B.5

Front

What is the difference between a minor arc and a major arc?

Back

A minor arc is less than 180 degrees, while a major arc is greater than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

How do you find the length of an arc if the angle is given in radians?

Back

Use the formula: L = r * θ, where r is the radius and θ is the angle in radians.

Tags

CCSS.HSG.C.B.5