Circles Passing Through Each Other

Geometry Level 1

Two circles , each with radius 3 , \sqrt3, pass through each other's centers. What is x ? x?


The answer is 3.

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Pi Han Goh by Pi Han Goh , 30, Malaysia

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2 solutions

Gabe Smith
Jul 26, 2016

These are all radii, so they make an equilateral triangle with height 3 ⋅ 3 2 = 3 2 . \frac{\sqrt{3} \cdot \sqrt{3}}{2} = \frac{3}{2}. The total height is 2 ⋅ 3 2 = 3. 2\cdot\frac{\sqrt 3}{2} = 3.

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THANK YOU GABE SMITH! =D

Pi Han Goh - 4 years, 10 months ago
Novril Razenda
Jul 1, 2016

Relevant wiki: Length and Area Problem Solving

6 Helpful 0 Interesting 0 Brilliant 0 Confused

Could you please add an explanation for B C = Radius BC = \text{Radius} , since this is a level 1 1 problem?

Jesse Nieminen - 4 years, 11 months ago

This works! Thank you thank you!!

Pi Han Goh - 4 years, 11 months ago

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You're welcome :)

Novril Razenda - 4 years, 11 months ago

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