Question : The radius of a circle is 5 cm and the length of one of its chords is 8 cm. Find the distance of the chord from the centre.
Option 1: 3 cm
Option 2: 4 cm
Option 3: 5 cm
Option 4: 2 cm

Question

Question : The radius of a circle is 5 cm and the length of one of its chords is 8 cm. Find the distance of the chord from the centre.

Option 1: 3 cm

Option 2: 4 cm

Option 3: 5 cm

Option 4: 2 cm

Team Careers360 · Accepted Answer

Correct Answer: 3 cm

Solution :
Radius of circle with centre $O$ is $OB$ = $5$ cm
Length of chord $AB = 8$ cm
We know that perpendicular from the centre to the chord bisects the chord.
So, $OD \perp AB$ which bisects $AB$ at $D$.
∴ $AD=DB=4$ cm
In $\Delta OBD$,
$OB^2=OD^2+BD^2$ (Pythagoras theorem)
⇒ $(5)^2=OD^2+(4)^2$
⇒ $OD=3$
Hence, the correct answer is 3 cm.

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Question : The radius of a circle is 5 cm and the length of one of its chords is 8 cm. Find the distance of the chord from the centre.Option 1: 3 cmOption 2: 4 cmOption 3: 5 cmOption 4: 2 cm

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Question : The radius of a circle is 5 cm and the length of one of its chords is 8 cm. Find the distance of the chord from the centre.
Option 1: 3 cm
Option 2: 4 cm
Option 3: 5 cm
Option 4: 2 cm