Find the length of a chord 3cm from the centre of a circle of radius...
MATHEMATICS
JAMB 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
Correct Answer: A. 8cm
Explanation
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
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