Question

A regular hexagon is inscribed in a circle, which means the vertices of the hexagon are on the circle. How many points of intersection do the circle and hexagon have?

a. 0
b. 2
c. 6
d. 12

Answer 1

When a regular hexagon is inscribed in a circle, the number of points of intersection between the circle and the hexagon is equal to the number of sides of the hexagon, which is 6.

Step-by-step explanation:

A regular hexagon is inscribed in a circle, meaning that all six vertices of the hexagon are on the circle. When a regular hexagon is inscribed in a circle, the number of points of intersection between the circle and the hexagon is equal to the number of sides of the hexagon. Since a regular hexagon has six sides, the circle and hexagon will have 6 points of intersection.