perplexus.info :: Shapes : Extreme Ellipse Exercise

Extreme Ellipse Exercise (Posted on 2014-12-13)

Consider a convex pentagon ABCDE, with AB=1, BC=2, CD=3, DE=4, EA=5, ∠AED=36^o and ∠BAE=150^o.

(A) What is the area of the smallest ellipse that can be circumscribed around pentagon ABCDE?

(B) What is the area of the largest ellipse that can be inscribed in pentagon ABCDE?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) The required area of the circumellipse is 15.93390872003.
For an explanation, refer to the solution submitted by Brain Smith in this location.
**** No one tried to solve Part-B.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Circumellipse (Part A)	Brian Smith	2016-12-04 23:42:52

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info