Area of a sector of central angle `200^(@)` of a circle is `770 cm^(2)` . Find the length of the corresponding arc of this sector.

Explanation

To find the length of the corresponding arc of a sector with a central angle of \(200^\circ\) and an area of \(770 \, \text{cm}^2\), we can follow these steps:

### Step 1: Use the formula for the area of a sector
The area \(A\) of a sector of a circle can be calculated using the formula:
\[ A = \frac{\theta}{360} \times \pi r^2 \]
where \(\theta\) is the central angle in degrees and \(r\) is the radius of the circle.
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