Can you solve my favourite GEOMETRY problem [Part 1]

Geometry Level 2

This is Problem $19$ in SEAMO $2018$ PAPER D.

\sqrt3: 4

1 : 3

3 : 2 * \sqrt3

1 : \sqrt3

1 : \sqrt2

1 solution

A Former Brilliant Member
Sep 25, 2020

Radius of circle m is $\dfrac {2\sqrt 3}{\sqrt 3}=2$ , and of circle n is $2\sqrt 3$ .

So, ratio of there areas is $2^2 : (2\sqrt 3)^2=\boxed {1 : 3}$ .

Very good solution!

SIN NDT - 8 months, 2 weeks ago

I think your solution is very helpful.

Tai Nguyen - 8 months, 2 weeks ago

I don't get the why for the ratios. Care to explain?

Peter van der Linden - 8 months, 2 weeks ago