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

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 mm2π radians
12 mm  x

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

A.  1.5

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