SOLUTION: If the endpoints of a circle's diameter are (6, 2) and (0, –6), what is the area of the circle?

Algebra ->  Circles -> SOLUTION: If the endpoints of a circle's diameter are (6, 2) and (0, –6), what is the area of the circle?      Log On


   

Question 558817: If the endpoints of a circle's diameter are (6, 2) and (0, –6), what is the area of the circle?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Distance between the two end points is the diameter of the circle.

d%5E2=%286-0%29%5E2+%2B%282--6%29%5E2
d%5E2=+6%5E2+%2B8%5E2
d%5E2=36%2B64
d%5E2=100
d=10 units
r=5+ units

Area = pi%2Ar%5E2
Area = pi%2A25
Area = 25%2Api square units

For additional examples and explanation on Circles, please see my website. To go to my website, use the easy-to-spell and easy-to-remember link www.mathinlivingcolor.com. At the very bottom of this page, there is a link that will take you to my Homepage.

Once you are on my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "College Algebra", and look in "Chapter 2," Section 2.04 Circles for a complete, non-traditional explanation that my own students, before I retired, found a lot easier to understand than the published textbooks of that day. You should really like my MATH IN LIVING COLOR pages, where the most difficult problems are solved IN COLOR.

Everything on the website is FREE. If you find something you really like, just print your own copy of it!!

If anyone needs to contact me, especially about the website, my Email address is rapaljer@seminolestate.edu. I'll be glad to help you find an explanation on my website to help you with your algebra topic!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus