Arc Length Practice

Front

What is the formula for arc length?

Back

Arc Length = (Central Angle/360) * Circumference of the Circle

Front

What is the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

If the central angle is 90 degrees, what fraction of the circle does the arc represent?

Back

1/4 of the circle.

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

What is the relationship between the central angle and the arc length?

Back

The arc length is directly proportional to the central angle.

Front

If an arc length is given as 7/2π, what does this represent?

Back

This represents the length of the arc in terms of π.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Front

How do you find the central angle if the arc length and radius are known?

Back

Central Angle = (Arc Length / Radius) * (180/π).

Front

What is the significance of the central angle in relation to the arc length?

Back

The central angle determines the size of the arc length.

Front

If an arc length is 49.7 ft and the radius is 10 ft, what is the central angle?

Back

Central Angle = (Arc Length / Radius) * (180/π) = 285.5 degrees.