# Question of the Day

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Mathematics > Standard Multiple Choice

In the figure above,  is the center of the circle and  is equilateral. If the sides of  are of length , what is the length of ?

# Yep! That's right.

### Explanation

Choice (C) is correct. Since  is equilateral, each of its angles has measure
. It follows that  has measure . Since  and  are radii of the same circle, they are of equal length, and so  is isosceles. Hence  and  each have measure . Thus  has measure , and so  is a  right triangle. Since , the side opposite the angle in , is of length , it follows that , the side opposite the angle, is of length .

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