Arcs

A circle has a radius of 10 cm. What is the length of an arc that subtends an angle of 60 degrees at the center of the circle? Use $C = 2\pi r$.

If the circumference of a circle is 31.4 cm, what is the measure of the angle in degrees corresponding to a 7.85 cm arc? Use $C = 2\pi r$.

A sector of a circle has an area of 25 square cm and subtends an angle of 45 degrees at the center. What is the radius of the circle? Use $A = \frac{\theta}{360} \times \pi r^{2}$.

What is the length of an arc in a circle with a radius of 14 cm if the central angle is 120 degrees? Use $C = 2\pi r$.

A circular track has a radius of 25 m. What is the length of a 90-degree arc on the track? Use $C = 2\pi r$.

A circle has a diameter of 16 cm. What is the measure of the angle that corresponds to a 12.56 cm arc? Use the formula for circumference to find the radius first.

In a circle with a radius of 3 m, what is the length of an arc that subtends an angle of 150 degrees? Use $C = 2\pi r$.

A sector of a circle has a radius of 10 m and an area of 50 square m. What is the angle of the sector in degrees? Use $A = \frac{\theta}{360} \times \pi r^{2}$.

What is the arc length of a circle with a radius of 5 cm that subtends a 270-degree angle at the center? Use $C = 2\pi r$.

The area of a circular sector is 20 square cm, and the radius is 8 cm. What is the angle of the sector in degrees? Use $A = \frac{\theta}{360} \times \pi r^{2}$.