Question

Which of the following are correct representation of the perimeter of the sector of a circle?

• A. $\theta r+2r$
• B. $r(\theta +2)$
• C. $r(\theta -2)$
• D. None of these

Answer 1

Answer: (A), (B)

$r(\theta +2)$
$\theta r+2r$

The perimeter of something is said to be the length of the boundary. In the same way, the perimeter of sector the represents the length of its boundary.

The perimeter of the sector of a circle is the sum of lengths of two radii along with the arc that makes the sector. In the following diagram, a sector is shown by white color

The perimeter should be calculated by doubling the radius and then adding it to the length of the arc.

$Perimeter=r\theta +2r$ = $r(\theta +2)$[here $\theta r$ is the length of arc]

So, option A,B are the answer.