A circular wire of radius 15cm is cut and bent so as to lie along the circumference of a loop of radius 120cm .Write the measure of the angle subtended by it at the center of the loop.
Draw a picture first, so you see what it's asking.
2 pi times 15cm is the arc length of a circle radius 120 cm subtended by angle A.
The full circle ix 2 pi and the full circumference is 2 pi times 120.
Thus it's and that's in radians, so you need to multiply by to get the number of degrees.
This is how I read this problem, there are 2 circles.
One has a radius of 15cm which gives a circumference of
The other has radius of 120cm which gives a circumference of
The angle will be the proportion of the circumference of circle 1 around the circumference of circle 2