Question

The diameter of a circle is $10cm$. Find the length of the arc, when the corresponding central angle is ${270}^o$. $(\pi =3.14)$

• A. $23.55cm$
• B. $20.57cm$
• C. $13.57cm$
• D. $11.57cm$

Answer 1

Answer: (A)

$23.55cm$

Radius of the circle $=\frac{Diameter}{2}=5cm$
Length
of an arc subtending an angle $\theta =\frac{\theta }{360}\times 2\pi R$ where R is the radius of the circle.
So, length of the arc $=\frac{270}{360}\times 2\times 3.14\times 5=23.55cm$