greatest no. of regions in a circle with 4 chords?
To find the maximum number of regions that can be formed by drawing chords in a circle, we can follow a straightforward formula:
The number of regions in a circle with n chords can be calculated using the formula:
Number of regions = n^2 + n + 2
In this case, we have 4 chords.
So, substituting n = 4 into the formula:
Number of regions = 4^2 + 4 + 2 = 16 + 4 + 2 = 22
Therefore, the greatest number of regions that can be formed in a circle with 4 chords is 22.