Question

The length of an arc of a circle of radius r= 10cm subtending angle theta at centre is.......

Answer 1

Answer: hey mate here you go

If the radius of a unit circle (radius 1) describes an arc on the circumference equal to its length, then the angle subtended by this arc is defined as 1 radian. So, if we have a radius of 10cm, and it describes an arc 1.5 times its length, then the length of the arc is 15cm.

Answer 2

Answer:

60 degrees

Step-by-step explanation:

an arc is a part of the circumference of a circle and the angles that subtend the arcs are proportional to the length of the arc.

So, you basically have two arcs to compare: a 10cm arc and a 60cm arc. But the 60cm arc also happens to be the circumference in this case, so you know that the angle that subtends that arc is 360 degrees (the whole circle). The 10cm arc is 1/6 of the whole circumference so the angle is going to be 1/6 of 360 degrees, which is 60 degrees.