Equation of the circle

Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0

Correct answer:

e : (x-1)^2+(y-20)^2 = 89

Step-by-step explanation:

x0=1 y0=20  8x+5y19=0  s=8 x0+5 y019=8 1+5 2019=89 a=82+52=899.434 r=as=9.43489=899.434  (xx0)2 + (yy0)2 = r2  e:(x1)2+(y20)2=89



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:
Dr Math
Hint - use formula for Distance Between a Point and a Line = which is radius of circle

5 years ago  3 Likes




Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: