91影视

Open the 鈥淐ircle: the role of the center鈥� applet. Place the cursor on the center of the circle and hold the mouse button. Drag the center around the Cartesian plane and note how the equation of the circle changes.

The radius of the circle is the length of the segment from the center to any point on its edge. center.

The given center of the circle $\left(1,3\right)$

The standard equation of the circle is $(x-h{)}^2+(y-k{)}^2=r^2$

Identify h and k from the center of the circle, $\left(h,k\right)=\left(1,3\right)$

Substitute the value of h and k in the equation of the circle,

$(x-1{)}^2+(y-3{)}^2=r^2$

The required circle with center (1,3) is

The given center of the circle $(-1,3)$

The standard equation of the circle is $(x-h{)}^2+(y-k{)}^2=r^2$

Identify h and k from the center of the circle, $\left(h,k\right)=\left(-1,3\right)$

Substitute the value of h and k in the equation of the circle,

$(x+1{)}^2+(y-3{)}^2=r^2$

The required circle with a center (-1,3) is

The given center of the circle $\left(-1,-3\right)$

The standard equation of the circle is$(x-h{)}^2+(y-k{)}^2=r^2$

Identify h and k from the center of the circle,$\left(h,k\right)=\left(-1,-3\right)$

Substitute the value of h and k in the equation of the circle

$(x+1{)}^2+(y+3{)}^2=r^2$

The required circle with a center (-1,-3) is

The given center of the circle $\left(1,-3\right)$

The standard equation of the circle is$(x-h{)}^2+(y-k{)}^2=r^2$

Identify h and k from the center of the circle,$\left(h,k\right)=\left(1,-3\right)$

Substitute the value of h and k in the equation of the circle

$(x-1{)}^2+(y+3{)}^2=r^2$

The required circle with a center (1,-3) is

The center of the circle plays a vital role in the equation of the circle as it specifies the coordinate in which the circle is lying.