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Partial eclipse II

Two diagonals of a circle are tangent to another circle. The chord passes through the tangency point. If the smaller circle has area 3, what is the area of the larger one?

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Solution

The larger circle has area 4.

Solution by ricardpe.

Visual solution

Proof without words by David Andriana.

Poem

Moon and Sun are hiding behind the sky
The day turns into night
The moon hides the earth
And we’ll see him soon
We can ask
Will the light shine again?
Will the moon be bright again?
Same happens in our lives
When something is wrong
Than the world seems black
And light is gone

Bella

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