Question

a class of 30 students, if 6 students take French, then what is the central angle of the sector

representing students who have taken French.​

Answer 1

Central Angle = 6/30×360

=6×12

=72°

Answer 2

A central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B.

Given:

Class of $30$ students, if $6$ students take french.

So, formula of central angle

$\theta =$ arc $length \times 360$° $\pi r$

So, $\frac{6}{30}\times 360$°

$=72$°

So, the central angle of the sector is $72$°.