Area of Circle

The circle is a plane shape that the distance of every point on its side with the center of the circle is always the same.. The radius of the circle is the distance of the center to the edge of the circle. The radius is denoted by r. The circle has a center line. The center line twice the length of the radius. The center line is denoted by diameter (d). d = 2 × r. The Circumference is the distance around the edge of the circle. Pi (the symbol is the Greek letter π) is: The ratio of the Circumference  to the Diameter of a Circle.

• π = circumference/diameter = 3,1415926535897323846....
• A quick and easy approximation to π is 22/7 = 3,1428571...

A circle with a center point C has the following sections.

• C is the center of the circle.
• AC = CB = r = radius of the circle.
• AB = diameter of the circle
• AB = AC + CB = 2 × r = 2R = 2 × radius
• If the radius of a circle = r and diameter d = 2 × r or r =  ½ × d

Area of ​​a circle is  π  times the square of the radius of the circle Area =

Circle Area = π r2

When the area of ​​a circle is expressed by the diameter :
Area = πr2  → (note: r = ½  x d)
          = π (½ d) 2
         = π ( ¼ d)2 
          = ¼ π d2 

Circle Area = ¼ π d2

Diameter = 2 x radius

Circumference =2πr or πd

Example :
1.  A circle has 21 cm radius. What is area and circumference ?
     Area = π r 2 
               = 22/7 x 212
               = 1.386 cm
    Circumference = 2πr
                               = 2 x 22/7 x 21
                               = 44 x 21
                               = 132 cm

2.  A circle has 616 cm area and π = 22/7. What is r  ?

     Area    =  π  x r2

     616     = 22/7 x r2

    22 x r2 = 616 x 7

    22r2     = 4312
        r2      = 4312/22
        r2     = 196
        r       =  √196
        r       = 14 cm