How to calculate the area of a triangle inscribed on a circle?

Question

anonymous · Answer

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i cant find the way to calculate the bottom side of the triangle...

amistre64 · Answer

doesnt an inscribed triangle have all 3 verts on the edge of the circle?

anonymous · Answer

this one has the one vertice on the centre of the circle

amistre64 · Answer

then that is just a triangle drawn inside of a circle.

you will have to know some more information, or be able to deduce sides and chords and angles as suited

anonymous · Answer

I know only the radius. 1.33

amistre64 · Answer

you need to know one more piece of information

anonymous · Answer

Do you know the angle between two radii?

amistre64 · Answer

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both triangles have 2 equal sides of r

anonymous · Answer

i know only the radius. 1.33

amistre64 · Answer

if you only know the radius of the circle .... then you can only give a range of areas for the triangles

amistre64 · Answer

anywhere from 0 to i believe the max is either a 45 degree or a 60 degree central angle

anonymous · Answer

hum.. i know the radius which is 1.33 and i know that inside the circle it fits 6 triangles. sorry. i didnt know that this info was important.

amistre64 · Answer

6 triangles creates a hexagon of equalaterals

amistre64 · Answer

so the central angle is pi/3

amistre64 · Answer

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amistre64 · Answer

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anonymous · Answer

why is it pi/3? |dw:1373208534725:dw|

Is that angle, 90º?