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Geometry

In a circle chord AC has a length of 6 If the length of arc ABC is equal to one-sixth of the circumference of the circle what is the area of the circle?

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July 11, 2010 12:04AM

The triangle ABC is an equallateral triangle since angle ABC is one sixth of 360 degress of the circle and the angles BAC and BCA are equal of the remaining 180-60=120 degrees. With radius BC (or BA) being 6; the areaof the circle is pi (r)squared; 36 pi

Area of the circle is 36pi

Malcolm Lowe