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\(\pi r^2\)
\(\pi (r*1.1)^{2} = 1.21\cdot\pi r^{2}\)
What do you think?

Already did.
Radius increased by 10% -- r*1.1
Area is increased by ???

Please explain how did you do the first step

Area of a Circle = \(\pi r^{2}\), given the radius.
That's the first step.

I know that the Area of a circle = pi r^2

New Radius is 10% greater than old radius. R = r*1.1
Area of new circle: \(\pi R^{2}\).

Got it what next ?

Raio of New Area to Old Area \(\dfrac{\pi R^{2}}{\pi r^{2}}\).

Ratio*

Thank you.