General Form of the Equation of a Circle

A technician is using a coordinate-based design program to place a circular vent on a blueprint. The software uses the standard form of a circle's equation: $(x - h)^2 + (y - k)^2 = r^2$. Match each variable or term from this equation with the specific geometric property it represents for the vent.

A manufacturing engineer is programming a CNC machine to cut a circular hole in a metal component. The blueprint specifies the center of the hole at coordinates (h, k) and a radius of $r$ millimeters. Which of the following represents the standard form of the equation the engineer must use to define this circular cut?

A manufacturing engineer is designing a circular gasket using a coordinate system. The engineer uses the standard form of a circle's equation: $(x - h)^2 + (y - k)^2 = r^2$. True or False: In this equation, the variables $h$ and $k$ identify the coordinates of the circle's center point.

Standard Equation for Origin-Centered Features

A CNC (Computer Numerical Control) programmer is writing a script to cut a circular hole in a metal plate. To define the tool path on a coordinate grid with a center at (h, k) and a radius of $r$, the programmer uses the standard form of a circle's equation. Arrange the following components in the conventional order to correctly form this equation, starting from the left side.

A CAD designer is plotting a circular foundation for a new water tank. They use the standard form of a circle's equation, $(x - h)^2 + (y - k)^2 = r^2$, to map the boundary on the digital grid. In this equation, the coordinates (h, k) designate the ____ of the circular foundation.