Question

In a circle, the length of an arc intercepted by a central angle is 12 mm, and the radius of the circle

8 is 8 mm. What is the measure, in radians, of the angle?

Answer 1

1.5

Explanation:

we calculate the circumference of this circle.

circumference of a circle=2πr

data:

r=8 mm

circumference=2(8 mm)π=16π mm

2)we calculate the measure, in radians of the angle.

We know that:

circumference of a circle=2π radians

therefore:

16π mm=2π radians.

16 π mm--------------------------2π radians

12 mm----------------------------- x

x=(12 mm * 2π radians) / 16π mm=1.5 radians.