Jambmaths question:
A chord of a circle of radius 7cm is 5cm from the centre of the circle. What is the length of the chord?
Option A:
$6\sqrt{6}cm$
Option B:
$2\sqrt{6}cm$
Option C:
$3\sqrt{6}cm$
Option D:
$4\sqrt{6}cm$
Jamb Maths Solution:
$\begin{align} & A{{B}^{2}}={{7}^{2}}-{{5}^{2}}=49-25\text{ }\!\!\{\!\!\text{ Pythagoras theorem }\!\!\}\!\!\text{ } \\ & A{{B}^{2}}=24 \\ & AB=\sqrt{24}=2\sqrt{6} \\ & AC=2\sqrt{6}+2\sqrt{6}=4\sqrt{6}cm \\\end{align}$
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