Question

The length of the arc of a sector is 10cm and radius is 6cm .Find the perimeter of the sector

Answer 1

Answer:-

$\sf{The \ perimeter \ of \ the \ sector \ is \ 22 \ cm}$

Given:

• Length of the arc of a sector = 10 cm
• Radius (r) = 6 cm

To find:

• The perimeter of the sector.

Solution:-

$\sf{Perimeter \ of \ sector=length \ of \ arc+2\times \ Radius}$

$\sf{\therefore{Perimeter \ of \ sector=10+2\times6}}$

$\sf{\therefore{Perimeter \ of \ sector=10+12}}$

$\sf{\therefore{Perimeter \ of \ sector=22 \ cm}}$

$\sf\purple{\tt{\therefore{The \ perimeter \ of \ the \ sector \ is \ 22 \ cm}}}$