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\( x^2+y^2-10x-8y-14n=0 \) 
The given equation represents circle A in the xy-plane, where n is a constant. Point (11, 8) lies on circle B, which has the same center but twice the diameter as circle A. What is the value of n?

A circle in the xy-plane has its center at (3, 2) and a radius with a length of 4. The equation for this circle can be written in the form \( (x-h)^2+(y-k)^2=b \), where h, k, and b are constants. What is the value of h?

Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how
many times the area of circle A?

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

A circle in the xy-plane has its center at (19,18) and has a radius of \( 9k \). Which equation represents this circle?

Circle N has a radius of 7 millimeters (mm). Circle M has an area of 64π mm². What is the total area, in mm², of circles N and M?

Circle A in the xy-plane has the equation \( (x+5)^2+(y-5)^2=25 \). Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is \( (x+5)^2+(y-5)^2=k \), where k is a constant. What is the value of k?

The circle shown has center O, circumference 144π, and diameters PR and QS. The length of arc PS is twice the length of arc PQ.What is the length of arc QR

Circle A in the xy-plane has the equation (x ＋5)²+(y -5)²= 4.Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A.The equation defining circle B in the xy-plane is (x＋5)²+(y- 5)²= k, where k is a constant. What is the value of k?

Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in degrees, of its associated angle ROS?

The equation x² + (y - 2)² = 36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xy-plane. Which of the following equations represents circle B?

The graph of x² + x + y² + y =
in the xy-plane is a circle. What is the length of the circle's radius?