Question

question 5 of 10
true or false? the shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circle’s radius.

a. true

b. false

Explanation:

The radius of a circumscribed circle (circumradius) is the distance from the circle's center to any vertex of the inscribed triangle. The shortest distance from the center to the triangle's sides is the apothem, which is shorter than the circumradius for non-equilateral triangles, and even for equilateral triangles, the apothem is $\frac{1}{2}$ the circumradius, not equal to it.

Answer:

B. False