JAMB - Mathematics (2022 - No. 8)
Find the length of a chord 3cm from the centre of a circle of radius 5cm
8cm
5.6cm
7cm
6.5cm
Explication
Using pythagoras formula:
Hyp\(^2\) = adj\(^2\) + opp\(^2\)
5\(^2\) = opp\(^2\) + 3\(^2\)
5\(^2\) - 3\(^2\) = adj\(^2\)
4 = adj
length of the chord = 2 * 4 = 8cm