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anyanavicka [17]
3 years ago
13

A circle with center (3,5) intersects the y-axis are(0,1). find the radius of the circle, find the coordinates of the other poin

t of intersection with the y-axis. what are the coordinates of the point of intersection of the circle and the x-axis
Mathematics
1 answer:
Llana [10]3 years ago
4 0
I would use the distance formula to solve this problem:

Distance formula: \sqrt{( x_{2} - x_{1} )^2 + ( y_{2}- y_{1})^2 }

(x1,y1) = (3,5)
(x2,y2)= (0,1)


Plug in points to find radius:
r=\sqrt{( x_{2} - x_{1} )^2 + ( y_{2}- y_{1})^2 }
r=\sqrt{( 0 - x_{1} )^2 + ( 1- y_{1})^2 }
r=\sqrt{( 0 - 3 )^2 + ( 1- 5)^2 }
r=\sqrt{( - 3 )^2 + ( - 4)^2 }
r=\sqrt{(9 + 16 )}
r=\sqrt{(25)}
r= 5 units


To find the other point on the circle that crosses the y-axis change the sign of y2.

(x1,y1) = (3,5)
(x2,y2) = (0,-1)





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