Question

(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?

Answer 1

Answer:

• 101 - min,
• 5051 - max

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

• R(n) = 1 + n(n + 1)/2, where n is the number of lines
• R(100) = 1 + 100*101/2 = 5051