Weave said:So a sphereical triangle is an example of non-euclid geometry right?
A spherical triangle is a triangle formed on the surface of a sphere by connecting three points with arcs of great circles. It is the analog of a planar triangle on a sphere.
The area of a spherical triangle can be calculated using the formula: A = (a + b + c - π)R^2, where a, b, and c are the angles of the triangle in radians and R is the radius of the sphere. Alternatively, you can use the haversine formula or the law of cosines to calculate the area.
The unit of measurement for the area of a spherical triangle is usually in square radians or steradians. However, it can also be converted to other units of area such as square meters or square kilometers.
Yes, the formula for calculating the area of a spherical triangle can be used for any type of spherical triangle, regardless of its size or shape.
Yes, there is a difference in the formulas used to calculate the area of a spherical triangle and a planar triangle. This is because the curvature of the sphere affects the angles and distance measurements, requiring different calculations for accurate results.