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A chord is a line segment that connects two points on a circle what is the maximum number of non-overlapping regions a circle can be divided into with 15 chords

A) 30
B) 48
C) 121
D) 127

Pls help

User Fusio
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1 Answer

2 votes
Answer:
Number of regions = (n^2 + n + 2)/2

Where n is the number of chords drawn from the circle.

In this case, we are given that 15 chords are drawn from the circle. Plugging this value into the formula, we get:

Number of regions = (15^2 + 15 + 2)/2
Number of regions = (225 + 15 + 2)/2
Number of regions = 242/2
Number of regions = 121

Therefore, the maximum number of non-overlapping regions a circle can be divided into with 15 chords is 121. The answer is option C.

- I Hope This Helps! :)
User Marco Massenzio
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