If the circumference of a circle is 100 units, then what will be the length of the arc described by an angle… · ABC26GN4622
Subject: General Aptitude · Chapter: Area · Exam: Campus Recruitment 2010
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
Answer
Answer (as printed): A
Explanation
$2 \pi r=100$. $$\begin{aligned} \text { So, length of the ar } & =\frac{2 \pi r \theta}{360}=\left(\frac{100 \times 20}{360}\right) \text { units } \\ & =\left(\frac{50}{9}\right) \text { units }=5.55 \text { units. } \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.