AREA AND PERIMETER OF QUADRANT

Area and perimeter of quadrant :

Here we are going to see the how to find area and perimeter of quadrant.

A quadrant is exactly one fourth of any circle.

Area of quarter circle = (1/4) Π r²

Perimeter of a quadrant = ((Π/2) + 2)r

It has 90 degree at the center.

Example 1 :

Find the area of quadrant with radius 7 cm

Solution :

Here r = 7 cm and Π = 22/7

  =  (1/4)  (22/7)  (7)²

  =  (1/4)  (22/7)  7  7

  =  (1/4)  22  7

  =  (1/2)  11 7

  =  11  3.5  =  38.5 cm²

Example 2 :

Find the area of quadrant with radius 3.5 cm

Solution :

Here r = 3.5 cm and Π = 22/7

  =  (1/4)  (22/7)  (3.5)² 

 =  (1/4)  (22/7)  3.5  3.5

  =  (1/4)  22  0.5  3.5

  =  (1/2)  11  0.5  3.5

  =  10.5  0.5  3.5 

  =  18.375 cm²

Example 3 :

Find the area of quadrant with radius 64 cm

Solution :

Here r = 3.5 cm and Π = 22/7

  =  (1/4) x (22/7) x (64)²

  =  (1/4) x (22/7) x 64 x 64

  =  (22/7) x 16 x 64

  =  (22 x 16 x 64)/7  

  =  22528/7 

  =  3218.28 cm²

Example 4 :

Find the circumference of the quadrant with radius 7 cm.

Solution :

Here r = 7 cm and  Π = 22/7

Circumference of quadrant  =  [(Π/2) + 2]r

=  [(22/14) + 2] (7)

  =  [(11/7) + 2] 7

=  ((11 + 14)/7) 7 

=  25 cm 

Example 5 :

Find the circumference of the quad-rant with radius 4.2 cm.

Solution :

Here r = 4.2 cm and  Π = 22/7

 =  [(22/14) + 2] (4.2)

  =  [(11/7) + 2] 4.2

=  ((11 + 14)/7) 4.2 

=  (25/7) 4.2

=  25(0.6)

=  15 cm

Example 6 : 

Find the circumference of the quadrant with radius 14 cm.

Solution :

 Here r = 14 cm and  Π = 22/7

 =  [(22/14) + 2] (14)

  =  [(11/7) + 2] 14

=  ((11 + 14)/7) 14 

=  (25/7) 14

=  25(2)

=  50 cm

Related Topics

After having gone through the stuff above, we hope that the students would have understood area and perimeter of quadrant. 

Apart from the stuff given on "Area and perimeter of quadrant", if you need any other stuff, please use our google custom search here.

Widget is loading comments...