Chapter 16 Circles RD Sharma Solutions Exercise 16.3 Class 9 Maths
Chapter Name  RD Sharma Chapter 16 Circles Exercise 16.3 
Book Name  RD Sharma Mathematics for Class 10 
Other Exercises 

Related Study  NCERT Solutions for Class 10 Maths 
Exercise 16.3 Solutions
1. Three girls Ishita, Isha and Nisha are playing a game by standing on a circle of radius 20 m drawn in a park. Ishita throws a ball o Isha, Isha to Nisha and Nisha to Ishita. If the distance between Ishita and Isha and between Isha and Nisha is 24 m each, what is the distance between Ishita and Nisha.
Solution
Let R, S and M be the position of Ishita, Isha and Nasha respectively
WKT, in an isosceles triangle altitude divides the base, So in Î”RSM , ∠RCS will be 90° and
RC = CM.
Area of Î”ORS = 1/2 × OA × RS
⇒ 1/2 × RC × OS = 1/2 × 16 × 24
⇒ RC × 20 = 16 × 24 ⇒ RC = 192 ⇒ RM = 2(192) = 38.4 m
So, distance between Ishita and Nisha is 384 m.
2. A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and Anand are sitting at equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.
Solution
⇒ 40m/OD = 2/7
⇒OD = 20m.
∴ AD = OA + OD = (40 + 20)m
= 60 m