All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Circle Line Length (Posted on 2016-04-07) Difficulty: 2 of 5
Each of the points P and Q lie on a circle with its center at O and having a radius of √50. Point R is inside the circle such that:
∠PQR = 90o, PQ = 6, QR = 2
Find OR

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Different method: Cartesian solution Comment 3 of 3 |
The circle:  x^2 + y^2 = 50
Let PQ be a horizontal line intersecting the top half of the circle.
Q is then at (3, sqrt(50-9)) = (3, sqrt(41))
P is at (-3, sqrt(41))
R is at (3, sqrt(41)-2)

distance OR is sqrt{3^2 + [sqrt(41)-2]^2}
OR = sqrt{9 + [sqrt(41)-2]^2}
OR = sqrt{9 + 41+4 -4sqrt(41)}
OR = sqrt{54 -4sqrt(41)}

OR = 5.328

  Posted by Larry on 2018-02-09 08:23:37
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information