Review the standard and expanded forms of circle equations, and solve problems concerning them.

Given a circle on the coordinate plane, Sal finds its standard equation, which is an equation in the form (x-a)²+ (y-b)²=r².

The standard form of the equation for a circle is: (x-h)^2 + (y-k)^2 = r^2 where (h, k) is the center of the circle and r is the radius of the circle. This is based on the distance formula where we …

Features of a circle from its standard equation VA.Math: G.PC.4.b.i VA.Math.2023: G.PC.4.b.i Google Classroom Microsoft Teams

Given the standard form equation of a circle, graph the circle. For example, graph the circle whose equation is (x+5)²+ (y+2)²=4.

A circle has a radius of 37 units and is centered at (1.3, 3.5) . Write the equation of this circle.

In the standard equation of a circle, -k would be the y-value of the center of the circle while -h would be the x-value of the center of the circle. Note the negative on h and k, and if k or h are …

The standard form equation of a circle contains the squares of two binomials. Sometimes, we'll be asked to determine the center or radius of a circle represented by an equation in which the …

Then the center of the circle would be (0,0) and the equation may look like this: x^2+y^2=0. Of course, you'd insert the radius too, but if it's on the origin- or if either x or y is zero- then it's just …

It comes from the Pythagorean theorem (indirectly distance formula). All points on a circle are equidistant to each other, a distance r from the center of the circle (which forms the radius). …