Question

The diameter of a circle is $10$ cm, then find the length of the arc, when the corresponding central angle is ${180}^{\circ }$. $(\pi =3.14)$

• A. $15.7$
• B. $16$
• C. $3.14$
• D. $18$

Answer 1

Answer: (A)

$15.7$

Radius of the circle $=\frac{\text{Diameter}}{2}=5$ cm

Length of an arc subtending an angle $\theta =\frac{\theta }{{360}^o}\times 2\pi R$, where $R$ is the radius of the circle.

So, length of the arc $=\frac{{180}^o}{{360}^o}\times 2\times 3.14\times 5=15.7$ cm