Question 17

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waecmaths question: 

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord.

Option A: 

$2\sqrt{21}cm$

Option B: 

$\sqrt{42}cm$

Option C: 

$2\sqrt{19}cm$

Option D: 

$\sqrt{21}cm$

waecmaths solution: 

$\begin{align}  & \left| AC \right|=\sqrt{{{5}^{2}}-{{2}^{2}}}=\sqrt{25-4}=\sqrt{21} \\ & AB=2\times \left| AC \right|=2\sqrt{21} \\\end{align}$

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