Introduction
When the
circumference of the circle is given, we can find the area of the circle
Definition of area of circle:
The
region that is occupied by the circle is called as area of the circle.
Formula:
Area of the circle = pi x r2 sq.units
Here “r” the radius of the circle.
Definition of circumference of circle:
The length around the circle is called as the circumference of the circle.
Formula:
Circumference of circle= 2pi r units.
Here “r” radius of the circle.
Steps to Find the Area of Circle Using Circumference
Step 1: From the given circumference of circle, find the radius of the circle
Here Circumference of circle= 2pi r units.
Radius
= (circumference of circle/2pi
(Here pi= 3.14)
Step 2:
From the radius of the circle, we can find the area of the circle.
Formula for area of the circle = pi x r2 sq.units
Here “r” the radius of the circle.
(Here
pi= 3.14)
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Examples on Area of Circle Using Circumference
Ex:1 Find the area
of the circle, when circumference of the given circle is 30 cm
(Here
pi= 3.14)
Sol:
Circumference of the given circle = 30 cm
2pi r =30
Radius = 30/2pi = 4.7cm
Area of the
circle = pi x r2 sq.units
= pi (4.7)2
=69.36 cm2
Ex:2 Find the area of
the circle, when circumference of the given circle is 50 cm
(Here pi= 3.14)
Sol:
Circumference of the given circle = 50 cm
2pi r =50
Radius = 50/2pi = 7.9cm
Area of the circle = pi
x r2 sq.units
= pi (7.9)2
=195.96cm2
Ex:3 Find the area of
the circle, when circumference of the given circle is 100 cm
(Here pi= 3.14)
Sol:
Circumference of the given circle = 100 cm
2pi r = 100
Radius = 100/2pi = 15.9cm
Area of the circle = pi
x r2 sq.units
= pi (15.9)2
=793.82cm2
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