Find the length of a chord 3cm from the centre ... - JAMB Mathematics 2022 Question
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
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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