Question

Research Work:
Can we say that the circumference of a circle is in direct or inverse variation with its radius? Verify with examples

Also find out the relation between area and radius of the circle.

Answer 1

Step-by-step explanation:

The circumference of a circle is equivalent to its outer boundary. The circumference of a circle is given by :

$C=2\pi r$.............(1)

r is the radius of circle

It is clear from equation (1) that the circumference of circle is directly proportional to its radius. For example, if the radius of circle is 2 cm, its circumference would be $4\pi$.

On increasing the radius i.e. 4 cm, circumference becomes $8\pi$.

The relationship between the area and the radius of circle is given by :

$A=\pi r^2$

r is the radius of circle

Hence, this is the required solution.