A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm. Is the given statement true or false and justify your answer

Solution:

Given

Radius of a circle = 3 cm

We know that

Diameter of a circle = 2 × radius of the circle

A circle is drawn through two points AB of 6 cm

It means that the diameter is 6 cm

Radius = diameter/2

Radius = 6/2 = 3 cm

Therefore, the statement is true.

✦ Try This: A circle of radius 5 cm can be drawn through two points A, B such that AB = 10 cm.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 10

NCERT Exemplar Class 9 Maths Exercise 10.2 Problem 5

A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm. Is the given statement true or false and justify your answer

Summary:

The statement “A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm” is true

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