Question

What is the arc length of an arc with a central angle of 120° in a circle with a radius of 12cm?

a) 4.71 cm
b) 9.42 cm
c) 12.57 cm
d) 15.70 cm

Answer 1

The arc length is 8π cm, which is approximately 25.13 cm.

Step-by-step explanation:

The arc length of an arc with a central angle of 120° in a circle with a radius of 12cm can be calculated using the formula:

Arc Length = (Angle in degrees / 360) * Circumference

Since the central angle is 120° and the radius is 12cm, we can substitute these values into the formula:

Arc Length = (120° / 360) * (2π * 12cm) = 8π cm ≈ 25.13 cm.