Question

What is the length of an arc of a circle with a radius of $5$ if it subtends an angle of ${60}^o$ at the center?

• A. $3.14$
• B. $5.24$
• C. $10.48$
• D. $2.62$

Answer 1

The correct option is B $5.24$

Given:

Radius (r)$=5$

Angle $={60}^o$

Arc length for a particular angle we can write as -

$=\frac{\theta }{360}\times \left(2\pi r\right)$

$=\frac{60}{360}\times 2\pi \times 5$

$=\frac{10\pi }{6}=5.24$

Option 'B'.