CIRCLES - ARC LENGTH PRACTICE

Front

What is the formula for arc length in a circle?

Back

The arc length (L) can be calculated using the formula: L = rθ, 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 circumference of a circle?

Back

The circumference (C) of a circle is given by the formula: C = 2πr, where r is the radius.

Front

If the radius of a circle is doubled, how does the arc length change?

Back

If the radius is doubled, the arc length also doubles, since arc length is directly proportional to the radius.

Front

What is a minor arc in a circle?

Back

A minor arc is the shorter arc connecting two points on a circle, measuring less than 180 degrees.

Front

What is a major arc in a circle?

Back

A major arc is the longer arc connecting two points on a circle, measuring more than 180 degrees.

Front

How do you find the angle in radians from the arc length and radius?

Back

The angle in radians can be found using the formula: θ = L/r, where L is the arc length and r is the radius.

Front

What is the arc length of a circle with a radius of 5 cm and an angle of 60 degrees?

Back

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

Front

What is the formula for finding the length of a minor arc given the radius and the central angle in degrees?

Back

The formula is: L = (θ/360) × 2πr, where θ is the central angle in degrees and r is the radius.

Front

Back

This represents the length of the arc in terms of π, indicating that the arc length is 3.5π units.