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The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of...

Mathematics
JAMB 1990

The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector

  • A. 8.8cm
  • B. 25.4cm
  • C. 25.6cm
  • D. 29.8cm
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Correct Answer: Option D
Explanation

Length of Arc AB = \(\frac{\theta}{360}\) 2\(\pi\)r

= \(\frac{48}{360}\) x 2\(\frac{22}{7}\) x \(\frac{21}{2}\)

= \(\frac{4 \times 22 \times \times 3}{30}\) \(\frac{88}{10}\) = 8.8cm

Perimeter = 8.8 + 2r

= 8.8 + 2(10.5)

= 8.8 + 21

= 29.8cm


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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