Question 1

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Jambmaths question: 

An arc of a circle of length 22cm subtends an angle of 3xo at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [$\pi =\tfrac{22}{7}$]   

Option A: 

60o

Option B: 

120o

Option C: 

180o

Option D: 

30o

Jamb Maths Solution: 

$\begin{align}  & \text{Length of an arc}=\frac{\theta }{{{360}^{o}}}\times 2\pi r \\ & 22=\frac{3x}{{{360}^{o}}}\times \frac{2}{1}\times \frac{22}{7}\times {{7}^{2}} \\ & 22=\frac{x}{{{120}^{o}}}\times 44 \\ & x=\frac{22\times {{120}^{o}}}{44}={{60}^{o}} \\\end{align}$

Jamb Maths Topic: 
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