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 Question from BIMAL, a parent: what is the diameter of a circle drawn around a equilateral triangle of size 6 cm

Hi,

In my diagram $D$ is the center of the circle.

If the circle passes through the three vertices $A, B$ and $C$ then the lengths $|AD|, |BD|$ and $|CD|$ are equal. What is the measure of the angle $BCD?$

$DE$ is an extension of $AD.$ What is the length of $EC?$ What is the length of $CD?$

Penny

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