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1. If the circumference of a circle is 100 units, then what will be the length of the arc described by an angle of 20 degrees ?

A. 5.55 units

B. 4.86 units

C. 5.85 units

D. None of these

Solution:

2 π r = 100

So, length of the arc :

\begin{aligned} = \frac{2 π r θ}{360} \\ = (\frac{100 \times 20}{360}) units \\ = (\frac{50}{9}) units \\ = 5.55 units \end{aligned}

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