![The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]](/img/aptitude-tests/questions/22674.jpg "The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]")
The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]
A.
6.28cm
B.
12.6cm
C.
22.6cm
D.
62.8cm
Correct answer is B
Length of arc = \(\frac{\theta}{360 \times 2 \pi r}\)
= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm
= 12.57
= 12.6cm(3 s.f)