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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 ?
Answer & Solution
Correct Answer:
Option
A
$$2\pi r = 100$$
So, length of the arc :
$$\eqalign{ & = \frac{{2\pi r\theta }}{{360}} \cr & = \left( {\frac{{100 \times 20}}{{360}}} \right){\text{units}} \cr & = \left( {\frac{{50}}{9}} \right){\text{ units}} \cr & = 5.55{\text{ units}} \cr} $$
So, length of the arc :
$$\eqalign{ & = \frac{{2\pi r\theta }}{{360}} \cr & = \left( {\frac{{100 \times 20}}{{360}}} \right){\text{units}} \cr & = \left( {\frac{{50}}{9}} \right){\text{ units}} \cr & = 5.55{\text{ units}} \cr} $$
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