Question

in a circle , the length of an arc intercepted by a central angle is 12mm and the radius of the circle is 8mm. what is the measure, in radians , of the angle . A. 1.5 B. 95 C. 20 D 4.4

Answer 1

Its 1.5!

Explanation:

Lexile test lol

Answer 2

1) 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.

Answer: A. 1.5