###### Asked in Geometry

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?

## Answer

###### Wiki User

###### 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**

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