What is the equation of the circle with a center at #(-4 ,2 )# and a radius of #7 #?
2 Answers
Apr 18, 2018
The equation you're looking for is
Explanation:
The standard equation for a circle is as follows:
where h and k are the x and y coordinates of the circle's centre, respectively, and r is the radius of the circle.
In your problem, your h value is negative, so the two negatives cancel out and make a positive 4.
Apr 18, 2018
Explanation:
#"the equation of a circle in standard form is"#
#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#
#"where "(a,b)"are the coordinates of the centre and r"#
#"is the radius"#
#"here "(a,b)=(-4,2)" and "r=7#
#rArr(x-(-4))^2+(y-2)^2=7^2#
#rArr(x+4)^2+(y-2)^2=49larrcolor(red)"equation of circle"#