Question

Four boys Arun, Balu, Ram and Raju are playing a game in a circular playground.

Arun, Balu & Raju stands on a circle and Ram stands at the centre of a circle.

Observe the diagram and answer the following:

a) What is the name of the line segment joining Balu & Raju called?

i)segment ii) chord iii) diameter iv) radius

b) Find the angle formed between the line segments joining Balu & Arun and

Arun & Raju.

i)450

ii) 900

iii) 200

iv) 250

c) Find the angle formed between the line segments joining Balu & Ram and Ram

& Raju.

i)450

ii) 900

iii) 200

iv) 250​

Answer 1

Given:

Four boys Arun, Balu, Ram and Raju are playing a game in a circular playground.

Arun, Balu & Raju stands on a circle and Ram stands at the centre of a circle.

To find:

Observe the diagram and answer the following:

a) What is the name of the line segment joining Balu & Raju called?

i)segment ii) chord iii) diameter iv) radius

b) Find the angle formed between the line segments joining Balu & Arun and Arun & Raju.

i)450 ii) 900 iii) 200 iv) 250

c) Find the angle formed between the line segments joining Balu & Ram and Ram & Raju.

i)450 ii) 900 iii) 200 iv) 250​

Solution:

From the given information, we have the data as follows.

Four boys Arun, Balu, Ram and Raju are playing a game in a circular playground.

Arun, Balu & Raju stands on a circle and Ram stands at the centre of a circle.

Consider the attached figure while going through the following steps.

Construction: Join Balu and Arun, Arun and Raju, Ram and Balu, Ram and Raju.

a) What is the name of the line segment joining Balu & Raju called? -  iii) diameter  

b) Find the angle formed between the line segments joining Balu & Arun and Arun & Raju. - ii) 900  

c) Find the angle formed between the line segments joining Balu & Ram and Ram & Raju. - 180