Question 10

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Jambmaths question: 

In the diagram above $\left| OR \right|$ is the diameter of the semicircle OR. Find the area of the figure of the shape to the nearest whole number

Option A: 

80cm2

Option B: 

70cm2

Option C: 

90cm2

Jamb Maths Solution: 

$\begin{align}  & \text{Area of rectangle }PSQR=7\times 10c{{m}^{2}}=70c{{m}^{2}} \\ & \text{Area of semicircle}=\frac{1}{2}{{\left( \frac{22}{7}\times \left( \frac{7}{2} \right) \right)}^{2}}=\frac{77}{4}c{{m}^{2}} \\ & \text{Area of the shape}=70c{{m}^{2}}+\frac{77}{4}c{{m}^{2}}=\frac{280+77}{4}c{{m}^{2}} \\ & =\frac{357}{4}c{{m}^{2}}=89.25c{{m}^{2}} \\ & \text{To the nearest whole number, the area is }89c{{m}^{2}} \\\end{align}$

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