WAEC - Mathematics (1995 - No. 30)

The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector
6 3/5cm
6 4/5cm
7 1/10cm
10 2/5cm
13 3/5cm,

Explanation

Perimeter of sector = \(\frac{\theta}{360°} \times 2\pi r + 2r\)

= \(\frac{108}{360} \times 2 \times \frac{22}{7} \times \frac{7}{2} + 2(\frac{7}{2})\)

= \(6 \frac{3}{5} + 7\)

= \(13 \frac{3}{5} cm\)

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