Chapter 14, Problem 18CUR

To determine

Tostate: that whether the statement is true or false.

Answer to Problem 18CUR

The statement isfalse.

Explanation of Solution

Given information:

The statement is: if an equilateral triangle and a regular hexagon are inscribed in a circle then the ratio of their area is $1:2$ .

the statement is false.

Since, area of equilateral triangle is $\frac{\sqrt{3}}{4}{a}^2$ and the area of the regular hexagon is $\frac{3\sqrt{3}}{2}{a}^2$ .

Thus, the ratio of the areas is $1:6$ .