Question

Find the length of the arc in terms of pi

Answer 1

Answer:

$\frac{\beta }{2\pi } *2\pi r$

Step-by-step explanation:

We know that perimeter of a circle is given by 2πr (where r is the radius of the circle).

We can say that for an complete angle of 2π the perimeter is 2πr.

Now let us consider a small section of segment making an angle  β at the centre.

According to the proportionality rules the length of the small segment would be

$\frac{\beta }{2\pi } *2\pi r$

Let the perimeter of circle be P then

$\frac{\beta }{2\pi } *P$

Hence this is the formula for length of an arc subtending angle β.