Question

if the length of an arc is equal to half of the length of the radius of the circle, then the angle subtended by the arc at the centre in radians would be -----------.​

Answer 1

Answer:

Step-by-step explanation:

It is 1 radian, or 57.29 degrees.

Let's find out. Let's consider a circle having radius as r units.

The circumference subtends an angle of 360° or 2π radians at the center.

We'll take the ratio.

Here, x is the unknown angle subtendes by the arc of length equal to radius.

2πr÷r=2π÷x

x=1 radian.

Or in degrees

2πr÷r=360°÷x

x=360°÷2π

=360°÷6.28

=57.29 degrees.