Question

Three Students Priyanka, Sania and David are Protesting against killing innocent animals for commercial purposes in a
circular park of radius 20 m. They are standing at equal distance on its boundary by holding banners in their hands. [3]
(i) Find the distance between each of them?
(ii) Which mathematical concept is used in it?​

Answer 1

The distance between the students is 20√3.

Number of students = 3 (Given)

Radius of the park = 20m (Given)

Let the three students be represented as = A ,B and C.

As, they are sitting at the edges of a circular park at an equal distance, this implies that the triangle which will be formed by joing will be an equilateral triangle.

Therefore,

In ΔOBD

Cos OBD = BD/OB

Cos 30 = BD/20

√3/2 = BD/20

BD = 10√3

Distance between any two students = 2

Thus, = 2 × 10√3

= 20√3

Therefore, the distance between the students is 20√3.