MHB Equation and Point Check for Circle of Radius 1

  • Thread starter Thread starter mathdad
  • Start date Start date
  • Tags Tags
    Circle Radius
mathdad
Messages
1,280
Reaction score
0
A. Write the equation of radius 1 centered at (0,0).

x^2 + y^2 = 1

B. Does the point (3/5, 4/5) lie on the circle?

(3/5)^2 + (4/5)^2 = 1

(9/25) + (16/25) = 1

25/25 = 1

1 = 1

Yes, the point (3/5, 4/5) lies on the circle.

Correct?
 
Mathematics news on Phys.org
RTCNTC said:
Correct?

Yep. :)
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

Similar threads

Replies
4
Views
2K
Replies
59
Views
2K
Replies
8
Views
1K
Replies
2
Views
3K
Replies
4
Views
1K
Replies
5
Views
2K
Replies
8
Views
2K
Back
Top