In the diagram O is the center of the circle. Reflex angl...
In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.
8m
9m
10m
13m
Correct answer is A
Given, Length of minor arc = 5.5m
Angle subtended by minor arc = 360° - 210° = 150°
∴
\frac{55r}{21} = 5.5
r = \frac{5.5 \times 21}{55}
r = 2.1m
Length of major arc = \frac{210}{360} \times 2 \times \frac{22}{7} \times 2.1
= 7.7m \approxeq 8m (to the nearest metre)
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