Find the area of a triangle with sides 4cm, 6cm, 8cm if it is inscribed in a circle with a radius of 3 cm.

As we well know from the school curriculum in geometry, in order to determine what the radius of a circle that is described around a triangle is equal to, you should use the following formula:

R = a * b * c / 4S.

Let us determine that the value will equal the area of a triangle, whose sides have lengths of 4.6 and 8 centimeters, respectively, if from the condition of our problem we know for sure that the radius of the circle into which it is inscribed is 3 cm:

S = 4 * 6 * 8 / (4 * 3) = 16.

Answer It is equal to 16 cm2.