If a circle is circumscribing triangle xyz,find the radius of the triangle. Calculate the area inside the circle but outside the triangle
I do not know what your triangle looks like
area outside triangle = circle area pi r^2 - triangle area
To find the radius of the circle circumscribing triangle XYZ, you can use the circumradius formula.
1. Calculate the lengths of the sides of triangle XYZ using the distance formula or any other method.
2. Once you have the lengths of the sides, you can calculate the semiperimeter (s) of the triangle using the formula: s = (a + b + c) / 2, where a, b, and c are the lengths of the sides.
3. Then, use the formula for the circumradius (R) of a triangle: R = (abc) / (4A), where A is the area of the triangle.
4. Calculate the area of triangle XYZ using Heron's formula: A = sqrt(s(s-a)(s-b)(s-c)).
5. Finally, substitute the values of a, b, c, and A into the circumradius formula to find the radius of the circle circumscribing triangle XYZ.
To calculate the area inside the circle but outside the triangle, subtract the area of the triangle from the area of the circle.
1. Calculate the area of the circle using the formula: A_circle = π * r^2, where r is the radius of the circle.
2. Subtract the area of the triangle (calculated in step 4 above) from the area of the circle to find the desired area.
Note: Make sure to use consistent units throughout the calculations.