What is the area of Sector?

Sector:

  • Sector portion of a circle resembling a 'slice of pizza'.
  • Sector is the portion (or part) of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle.

Area of the sector of Circle = Î¸/360o× Ï€r2

Example:

The radius of a circle is 5 cm. Find the area of a sector of a circle with central angle 40 degree.

Solution:

Radius of a circle is 5 cm       

Central angle is  40 degree.       

We have to find the area of sector of a circle.       

Area of the sector of angle Î¸/360× Ï€r2 

                         = 40/360× 3.14 × 52

                           =  8.73 
cm2

Therefore, area of the sector is  8.73 cm2.

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