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JAMB - Mathematics (2025 - No. 27)

The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.
15cm
47cm
8cm
169cm

Explicación

The distance d from the center to the chord is found using the Pythagorean theorem, where half the chord is 15 cm (\(\frac{30}{2}\)).

So d \(\sqrt{(r^2 - (\frac{chord}{2})^2}\) = \(\sqrt{(17^2 - 15^2)}\) = \(\sqrt{(289 - 225)}\) = \(\sqrt{64}\) = 8 cm.

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