Arc Length

Front

What is the circumference of a circle?

Back

The circumference is the distance around a circle, calculated as C = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

How do you find the arc length of a circle?

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the circumference of a circle?

Back

C = 2πr or C = πd, where r is the radius and d is the diameter.

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is 4 and the angle is 120 degrees, what is the arc length?

Back

Arc Length = (120/360) * (2π * 4) = 8.

Tags

CCSS.HSG.C.B.5

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, measured by the central angle.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, measured by the central angle.

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.

Tags

CCSS.HSG.C.B.5

Front

How do you express arc length in terms of π?

Back

To express arc length in terms of π, keep π in the final answer instead of calculating its numerical value.

Tags

CCSS.HSG.C.B.5

Front

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

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the degree measure of a full circle?

Back

A full circle measures 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1