WAEC - Mathematics (2023 - No. 3)

The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.

\((Take \pi = \frac{22}{7})\)

\(11.6cm^2\)
\(12.7cm^2\)
\(10.2cm^2\)
\(9.4cm^2\)

Explanation

\(\theta = 115° , radius = 3.4cm^2\)

Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)

= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)

= \(\frac{29246.4}{2520}\)

= \(11.6cm^2\)

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