Problems on Circles I: Dissecting a Circle

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Given a circle and points A and B, construct a circle passing through A and B and dividing the circumference of into two equal arcs. You can vary the red objects: A, B, the center, and a point on . Note what happens when A is at the center of or when A, B and the center of are aligned.


The circumference of is halved, but is the area of as well?


Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.