July 2023
Problem of the Month

Circle Problem
Submitted by Brijesh Dave

Let segment AB be a diameter of a circle and C be a point on segment AB with 2 (AC) = BC. Let D and E be points on the circle such that DC ⟂ AB and segment DE is a second diameter.

What is the ratio of the area of △DCE to the area of △ABD ?

Solution:

The ratio is 1/3 or 1:3.





Click here for Carlos de Armas' excellent solution

Correctly solved by:

1. K.Sengupta	Calcutta, INDIA
2. Kelly Stubblefield	Mobile, Alabama
3. Colin (Yowie) Bowey	Beechworth, Victoria, Australia
4. Carlos de Armas	Barcelona City, Spain
5. Seth Cohen	Concord, New Hampshire
6. Rob Miles	Northbrook, Illinois

Send any comments or questions to: David Pleacher