Arc Length Practice

Front

What is the formula to find the arc length of a circle?

Back

Arc Length = r * θ, where r is the radius and θ is the central angle in radians.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply by π/180.

Front

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

Back

The arc length is directly proportional to both the radius and the central angle.

Front

If the radius of a circle is doubled, how does the arc length change for the same central angle?

Back

The arc length also doubles.

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

What is the radian measure of a full circle?

Back

2π radians.

Front

How do you find the radius if you know the arc length and the central angle in radians?

Back

Radius = Arc Length / Central Angle.

Front

What is the arc length of a circle with a radius of 10 inches and a central angle of 1 radian?

Back

Arc Length = 10 * 1 = 10 inches.

Front

What is the formula to find the central angle in radians given the arc length and radius?

Back

Central Angle = Arc Length / Radius.

Front

If an arc length is 15 cm and the radius is 5 cm, what is the central angle in radians?

Back

Central Angle = 15 / 5 = 3 radians.