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.

Front

How do you convert radians to degrees?

Back

Degrees = Radians * (180/π).

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.

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.

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.

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.

Front

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

Back

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

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.

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.

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.