Question

Three girls Rita, Sita and Mita are playing a game by sitting on a circle of radius
5m drawn in a park. Rita throws a ball to Sita, Sita to Mita, Mita to Rita. If the
distance between Rita and Sita and between Sita and Mita is 6m each, what is the
distance between Rita and Mita?
​

Answer 1

Answer:

The distance between Rita and Mita is 6 meters .

Step-by-step explanation:

Given as :

Three girls Rita, Sita and Mita are playing a game by sitting on a circle of radius  5 m .

The radius of circle = 5 m

The distance between Sita and Mita = 6 m

The distance between Rita and Sita = 6 m

let The distance between Rita and Mita = x m

As They are sitting in circle

So, The distance between two girls is length of arc

i,e Length of arc = l = $\dfrac{\Pi \times radius\times \Theta }{180^{\circ}}$

Or, 6 = $\dfrac{\Pi \times 5\times \Theta }{180^{\circ}}$

Or, $\dfrac{\pi \times \Theta }{180^{\circ}}$ = $\dfrac{6}{5}$                ..... ...A

Similarly

The distance between Rita and Mita =  Length of arc = l' = $\dfrac{\Pi \times radius\times \Theta }{180^{\circ}}$

i.e  x = $\dfrac{\Pi \times 5\times \Theta }{180^{\circ}}$

Or, x = $\dfrac{\pi \times \Theta }{180^{\circ}}$  × 5

or, x = $\dfrac{6}{5}$ × 5

∴   x = 6 m

So, The distance between Rita and Mita = x = 6 m

Hence, The distance between Rita and Mita is 6 meters . Answer