Circle Arc Length

What is the formula for calculating the arc length of a circle?

• L = 2πr(©/360)

• L = 2πr^2(©/360)

• L = 2r

• L = πr^2

If the circumference of a circle is 24π cm, what is the arc length of an arc with a central angle of 60 degrees?

• 8π cm

• 4π cm

• 6π cm

• 12π cm

Calculate the arc length of an arc with a central angle of 120 degrees and a radius of 5 cm.

• 15π cm

• 20/3π cm

• 10/3π cm

• 25/3π cm

If the radius of a circle is 8 cm, what is the arc length of an arc with a central angle of 45 degrees?

• π cm

• 16 cm

• 2π cm

• 8 cm

Explain the relationship between the arc length of a circle and its radius.

• The arc length of a circle is not related to its radius.

• The arc length of a circle is inversely proportional to its radius.

• The arc length of a circle is directly proportional to its radius.

• The arc length of a circle is equal to its radius.

A circle has a circumference of 36π cm. What is the arc length of an arc with a central angle of 90 degrees?

• 9π cm

• 12π cm

• 45π cm

• 18π cm

Calculate the arc length of an arc with a central angle of 30 degrees and a radius of 10 cm.

• 15π/3 cm

• 5π/3 cm

• 3π/2 cm

• 20π/3 cm

If the arc length of an arc is 12π cm and the central angle is 72 degrees, what is the radius of the circle?

• 90 cm

• 150 cm

• 120 cm

• 180 cm

What is the difference between the circumference of a circle and the arc length of an arc?

• The circumference of a circle is always smaller than the arc length of an arc

• The circumference of a circle is measured in radians, while the arc length of an arc is measured in degrees

• The circumference of a circle includes the entire circle, while the arc length of an arc only considers a portion of the circle.

• The circumference of a circle is a straight line, while the arc length of an arc is a curved line

A circle has a radius of 6 cm. What is the arc length of an arc with a central angle of 180 degrees?

• 3π cm

• 36 cm

• 12π cm

• 6π cm