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The angle of a sector of a circle is 108 °. If the radius of...

Mathematics
WAEC 2025

The angle of a sector of a circle is 108 °. If the radius of the circle is 3\(\frac{1}{2}\)cm, find the perimeter of the sector.

  • A. 6 \(\frac{3}{5}\) cm
  • B. 7\(\frac{2}{10}\) cm
  • C. 6 \(\frac{4}{5}\) cm
  • D. 13 \(\frac{3}{5}\) cm
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Correct Answer: Option D
Explanation

Angle of sector = 108°;

Radius of circle = 3\(\frac{1}{2}\)cm ⇒ \(\frac{7}{2}\) cm

Perimeter of sector = 108/360 × 2πr + 2r ⇒ \(\frac{108}{360 }\) × 2 × \(\frac{22}{7}\) × \(\frac{7}{2}\) + 2(\(\frac{7}{2}\)) ⇒ 66/10 + 7 cm = 6\(\frac{3}{5}\) + 7 = 13\(\frac{3}{5}\)


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