20. The four circles below have some number of points on their circumference. Connect all the points on the same circle using straight lines and count the number of regions these segments have partitioned the circle into. DO 2 points, 2 regions. 3 points, 4 regions. 4 points, 8 regions. 5 points, 16 regions. If there are 6 points on the circumference of a circle, how many regions have been partitioned at the most? (A) 24 (C) 31 (D) 32 (E) 40 (B) 30

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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20. The four circles below have some number of points on their circumference.
Connect all the points on the same circle using straight lines and count the
number of regions these segments have partitioned the circle into.
2 points,
2 regions.
3 points,
4 regions.
4 points,
8 regions.
5 points,
16 regions.
If there are 6 points on the circumference of a circle, how many regions have
been partitioned at the most?
(A) 24
(D) 32
(E) 40
(B) 30
(C) 31
Transcribed Image Text:20. The four circles below have some number of points on their circumference. Connect all the points on the same circle using straight lines and count the number of regions these segments have partitioned the circle into. 2 points, 2 regions. 3 points, 4 regions. 4 points, 8 regions. 5 points, 16 regions. If there are 6 points on the circumference of a circle, how many regions have been partitioned at the most? (A) 24 (D) 32 (E) 40 (B) 30 (C) 31
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