Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre. Is the given statement true or false and justify your answer

Solution:

It is given that

Length of chord 1 = 10 cm

Length of chord 2 = 8 cm

Distance of chord 1 = 8.0 cm

Distance of chord 2 = 3.5 cm

As the larger chord is at a smaller distance from the centre the statement is not true.

✦ Try This: If ∠ABC = 60º, then ∠AOC is equal to:

We know that

Angle at the centre of the circle is twice the angle at the circumference subtended by the same arc.

∠AOC = 2 ∠ABC

It is given that

∠ABC = 60º

Substituting the values

∠AOC = 2 × 60º

∠AOC = 120º

Therefore, ∠AOC is equal to 120º.

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

NCERT Exemplar Class 9 Maths Exercise 10.2 Sample Problem 2

Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre. Is the given statement true or false and justify your answer

Summary:

The statement “Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre” is false

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