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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #64218)