As diameter of a circle increase,area also increase or not?

2 Answers
Jun 3, 2018

Yes.

Explanation:

As the diameter of the circle increases, both the area and the circumference of the circle get larger.

Take, for example, a circle with a diameter of 6, that increases to become a diameter of 7:

"Diameter" color(white)"xxxx""Area"

color(white)"xxx"6color(white)"xxxxxxxx"9pi

color(white)"xxx"7color(white)"xxxxxxxx"12.25pi

Just increasing the diameter by 1 digit makes the area greater. So yes, as the diameter increases, the area increases.

Jun 3, 2018

color(blue)("Yes")

Explanation:

The formula for the area of a circle is given by:

A=pir^2

Where r is the radius, and pi is the ratio of the circumference of a circle to its diameter.

Let D="diameter" and r="radius"

Since the radius is half the diameter, the radius is:

D/2

If the diameter increases by a factor bba

Then the radius increases by a factor:

a/2

And the area increases by a factor:

(a/2)^2=a^2/4