The circumference of the circle and the radians measure of the angle are; 16π mm and 1.5 radians
1) Formula for circumference of a circle is;
C = 2πr
We are given;
radius; r = 8 mm
Thus;
C = 2π * 8
C = 16π mm
2) We know that:
Circumference of a circle is also;
C = 2π radians
Thus to find the radians measure of the angle is;
16π mm = 2π radians.
Then
12 mm has an angle of x radians
Thus;
x = (12 mm * 2π radians)/16π mm
x = 1.5 radians.
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