A sector of 900 is cut from a circular lamina with the circumference of 44cm.Find the arc length of the removed portion

To solve this problem, we need to understand that the arc length of a sector of a circle is proportional to the degree of the sector.

Here are the steps to find the arc length of the removed portion:

1. First, find the total degree of the circle. A circle is 360 degrees.

2. Next, subtract the degree of the sector from the total degree of the circle. This gives the degree of the removed portion. So, 360 - 900 = -540 degrees. However, degrees cannot be negative, so we add 360 until we get a positive degree. Adding 360 twice gives us 180 degrees.

3. Now, we find the ratio of the degree of the removed portion to the total degree of the circle. This is 180/360 = 0.5.

4. Finally, we multiply this ratio by the circumference of the circle to find the arc length of the removed portion. So, 0.5 * 44 cm = 22 cm.

So, the arc length of the removed portion is 22 cm.