Calculate the perimeter in cm of a sector of a ... - JAMB Mathematics 1994 Question
Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45o
A
2\(\pi\)
B
8 + 2\(\pi\)
C
16 + 2\(\pi\)
D
16 + 16\(\pi\)
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Correct Option: C
Perimeter = OP + OQ + PQ
= 8 + 8 + PQ
length PQ = (\frac{\theta}{360 \times 2\pi r})
= (\frac{45}{360}) x 2 x (\pi) x 8
= 2(\pi)
Perimeter of sector 2r + L
Where l = length of arc and r = radius
∴ P = 2(8) + 2(\pi)
= 16 + 2(\pi)
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