Question

The area of a minor sector of $\odot (P,30)$ is $300{cm}^2$. The length of the corresponding arc in ................. $cm$.

• A. $20$
• B. $10$
• C. $30$
• D. $40$

Answer 1

The correct option is A $20$

Given : Area of the minor sector $=300c{m}^2$

Let $l$ be the length of minor arc

We know that, Area of minor sector $=\frac{1}{2}rl$, where $r$ is radius and $l$ is length of minor sector
$⟹300=\frac{1}{2}\times 30\times l$
$⟹l=\frac{300\times 2}{30}=20$

Hence, the answer is $20$.