Question

Which of the following lists the number of points at which a circle can intersect a triangle

A. 2 and 6 only
B. 2, 4 and 6 only
C. 1, 2, 3 and 6 only
D. 1, 2, 3, 4 and 6 only
E. 1, 2, 3, 4, 5 and 6 only

Answer 1

E

Explanation:

1) Circle can intersect 1 corner of triangle.

2) Circle can intersect 2 sides of triangle 1 time.

3) Circle can intersect 2 sides of triangle 1 time and 1 corner of triangle.

4) Circle can intersect 2 sides of triangle 2 times.

5) Circle can intersect 2 sides of triangle 2 times and 1 side of triangle 1 time.

6) Circle can intersect 3 sides of triangle 2 times

I have attached the picture to understand better and to eliminate any confusions.