Distance of chord from the centre of a circle is 7cm. Length of chord is 48
cm. Find the longest chord of a circle
a) 32 cm
b) 34 cm
c) 50 cm
d) 18 cm
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You find a right-angle triangle with hypotenuse 25 (the radius) and one side 7 (the altitude) and the unknown 3rd side
Pythagoras:
7² + x² = 25²
x² = 625 - 49 =576
x = 24
The chord is 48cm
(You may recognise the 7–24–25 Pythagorean Triplet, like 3–4–5 and 5–12–13)
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