Question

Perimeter of a sector​

Answer 1

The formula for the perimeter of the sector of a circle is given below :

Explanation:

Perimeter of sector = radius + radius + arc length

Perimeter of sector = 2 radius + arc length

Arc length is calculated using the relation :

Arc length = l = (θ/360) × 2πr

Therefore,

Perimeter of a Sector = 2 Radius + ((θ/360) × 2πr )

Answer 2

27.89 cm

Explanation:

The formula to find the perimeter of a sector is:

`P = (\theta)/(360) *2\pi r+2r`

Here,

r ⇒ radius ⇒ 4 cm

Θ ⇒ angle ⇒ 285°

Let us solve it now.

`P = (\theta)/(360) *2\pi r+2r\\\\P = (285)/(360) *2*\pi*4 +2*4\\\\P = (285 *2*\pi*4)/(360) +2*4\\\\P = (7162.83)/(360) +8\\\\P=19.89+8\\\\P=27.89cm`