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The angle of a sector of a circle radius 10 5cm... - JAMB Mathematics 2021 Question

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

A

8.8cm

B

25.4cm

C

25.6cm

D

29.8cm

correct option: d

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 of sector = 8.8 + 2r

= 8.8 + 2(10.5)

= 8.8 + 21

= 29.8cm

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