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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #60682)