Problem

The area of the circle below is $59 \mathrm{~cm}^{2}$.
The area of the minor sector $\mathrm{OAB}$ is $\frac{1}{7}$ of the area of the circle.
Work out the area of the minor sector $\mathrm{OAB}$.
Give your answer to 1 d.p.

Answer

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Answer

Calculate the area: \(Area_{OAB} = 59 \times \frac{1}{7} = \boxed{8.4} \, cm^2\)

Steps

Step 1 :Find the area of the minor sector OAB: \(Area_{OAB} = Area_{circle} \times Fraction\)

Step 2 :Calculate the area: \(Area_{OAB} = 59 \times \frac{1}{7} = \boxed{8.4} \, cm^2\)

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