Question

Find the length of arc 6 m swept across 2.5 radians

Answer 1

HELLO DEAR,


The length of the arc that is intercepted by the angle is equal to the ratio of the angle to a whole revolution multiplied to the circumference.

so,  S = (A / 2π rad) x 2πr

now, put the values,
                                   
S = (2.5 rad / 2π rad) x 2π x (6 m)
                                     
S = 2.5 × 6 m

S = 15m

Thus, the length of the intercepted arc is 15 m.


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

In the attachment I have answered this problem.

Concept:

The Angle made by an arc at the

centre of a circle is the ratio of the

length of of the arc to the radius.

See the attachment for detailed solution