11.4 Arc Length

Front

What is the formula for calculating the arc length of 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

How do you convert radians to degrees?

Back

Degrees = Radians * (180/π).

Tags

CCSS.HSF.TF.A.1

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

What is the significance of rounding in arc length calculations?

Back

Rounding is important for precision and clarity in reporting measurements, especially in real-world applications.

Tags

CCSS.HSG.C.B.5

Front

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

Back

The arc length also doubles if the angle remains the same.

Tags

CCSS.HSG.C.B.5

Front

What is the value of π used in calculations?

Back

π is approximately 3.14, but it is often used in its symbolic form for exact calculations.

Tags

CCSS.HSG.GMD.A.1

Front

How do you find the angle measure of an arc given its length and the radius?

Back

Angle (θ) = (Arc Length / (2πr)) * 360.

Tags

CCSS.HSG.C.B.5

Front

What units are typically used for measuring arc length?

Back

Arc length can be measured in any linear unit, such as meters, miles, or centimeters.

Tags

CCSS.2.MD.A.3

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 more than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4