LT E (Arc Length)

Front

What is the formula to find 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

What is an arc in a circle?

Back

An arc is a curved line that connects two points on a circle.

Front

If the radius of a circle is 3 cm, what is the length of a 45-degree arc?

Back

The length of a 45-degree arc is \(\frac{3}{4} \pi\) cm.

Front

How do you find the length of an arc?

Back

The length of an arc can be found using the formula: Arc Length = (θ/360) * C, where θ is the angle in degrees and C is the circumference.

Front

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

Back

The arc length is directly proportional to the radius of the circle.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

If the radius of a circle is 4 feet, what is the circumference in terms of π?

Back

The circumference is 8π feet.

Front

What is the measure of a minor arc?

Back

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

Front

What is the formula for finding the length of an arc in terms of π?

Back

Arc Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

What is the length of a 90-degree arc in a circle with a radius of 2 meters?

Back

The length of a 90-degree arc is \(\frac{1}{4} \times 2\pi(2) = \pi\) meters.