Question 14

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Jambmaths question: 

A sector of a circle has an area of 55cm2. IF the radius of the circle is 10cm , calculate the angle of the sector.[take $\pi =\tfrac{22}{7}$]

Option A: 

90o

Option B: 

75o

Option C: 

63o

Option D: 

45o

Jamb Maths Solution: 

Area of sector is given as$\begin{align}  & \text{Area of sector is given as} \\ & A=\frac{\theta }{{{360}^{o}}}\times \pi {{r}^{2}} \\ & 55=\frac{\theta }{{{360}^{o}}}\times \pi {{(10)}^{2}} \\ & \theta =\frac{55\times {{260}^{o}}}{100\times \tfrac{22}{7}}={{63}^{o}} \\\end{align}$

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