Question on: JAMB Mathematics - 2022

Find the length of a chord 3cm from the centre of a circle of radius 5cm.

A

8cm

B

5.6cm

C

7cm

D

6.5cm

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Correct Option: A

Using the Pythagoras theorem,

Hyp\(^2\) = adj\(^2\) + opp\(^2\)

5\(^2\) = opp\(^2\) + 3\(^2\) 

5\(^2\) - 3\(^2\) = adj\(^2\)

4 = adj

Hence, length of the chord = 2 * 4 = 8cm

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