Posted by **Sam** on Friday, April 29, 2011 at 9:24pm.

My class is learning about the areas of regular polygons and circles and I'm so confused. How are you supposed to figue out the area a regular triangle inscribed in a circle when all you know is that the radius of the circle is 1.5?

- Geometry -
**Henry**, Saturday, April 30, 2011 at 9:29pm
If it is a rt triangle occupying less

that i/2 of the circle:

At = 2As,

As = At/2.

At = Area of the triangle.

As = A shaded area between triangle and

circle.

At + As = pi*r^2/2 = 1/2 of a circle.

Substitute At/2 for As:

At + At/2 = 3.14*(1.5)^2/2,

1.5At = 3.53,

At = 2.36. = Area of triangle.

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