Check sibling questions

A sector is a part of the circle

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Perimeter of sector will be the distance around it

Perimeter of Sector - Part 2

 

Thus,

  Perimeter of sector = 𝜃r + 2r

   = r(𝜃 + 2)

Where 𝜃 is in radians

 

If angle is in degrees,

𝜃 = Angle × π/(180°)

 

Let us take some examples:

 

Find perimeter of sector whose radius is 2 cm and angle is of 90° 

Perimeter of Sector - Part 3

First,

We need to convert angle in radians

𝜃 = Angle in degree × π/(180°)

𝜃 = 90° × π/(180° )

𝜃 = π/4

 

And Radius = r

            = 2 cm

 

Now,

  Perimeter of sector  = r (𝜃 + 2)

    = 2 (π/4+2)

    = 2 ((π + 2 × 4)/4)

    = 2 ((π + 8)/4)

    = (π + 8)/4 cm

 

Find perimeter of sector whose radius is 2 cm and angle is π/4 radians

Perimeter of Sector - Part 4

Radius = r

     = 2 cm

 

Angle (in radians) = 𝜃

      = π/4

Now,

  Perimeter of sector = r (𝜃 + 2)

  = 2 (π/4+2)

  = 2 ((π + 2 × 4)/4)= 2 ((π + 8)/4) = (π + 8)/4 cm

 

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.