Write the equation of the circle that has a center of (-7, 17) with a radius of 19.
Answers
Answer:
x²+y²+14x-34y-23=0
Step-by-step explanation:
please refer to the attachment
Answer:
the equation of the circle is
x² + y² + 14x - 34y -23 = 0
Step-by-step explanation:
General form of Equation of a Circle
The general equation of any type of circle is represented by: x2 + y2 + 2gx + 2fy + c = 0, for all values of g, f and c.
The standard form equation of a circle is given by: (x – x1)² + (y – y1)²= r², where (x, y) is the arbitrary coordinates on the circumference of the circle, r is the radius of the circle, and (x1, y1) are the coordinates of the center of the circle.
Given.
center = ( -7, 17 )
Radius =19
To find
we have to find the equation of the circle
Solution
(x-h)² + ( y-k ) ² = r²
(x-(-7))² + ( y-17) ² = 19²
(x+7))² + ( y-17) ² = 19²
x² +14x +49 +y² -34y +289= 361
x² + y² + 14x - 34y +49 + 289 -361 =0
x² + y² + 14x - 34y -23 = 0
the equation of the circle is
x² + y² + 14x - 34y -23 = 0
https://brainly.in/question/48872391
https://brainly.in/question/31974019
#SPJ2