What is the general form of the equation of the given circle with center a
Asked by maham237 @ in Mathematics viewed by 359 People
What is the general form of the equation of the given circle with center A(-3,12) and the radius is 5?
Asked by maham237 @ in Mathematics viewed by 359 People
What is the general form of the equation of the given circle with center A(-3,12) and the radius is 5?
Answered by maham237 @
We solve this problem implementing the principle of the general form of the circle equation.
The general form of the circle equation is
Given that
Option A
The standard form of the circle equation, in other words the center-radius form, is
So, we get the standard form of the circle equation.
Expand the equation, implement the square of the binomial pattern.
Rearrange the equation.
We get the general form of the equation of the given circle.
Option B
The relationship between the general form and the standard form.
A(-3, 12) → (h, k) and r = 5
Once more, we get the general form of the equation of the given circle.
Keywords: circle, general form, equation, center, the radius, explicit, squared binomial, completing square, implicit, center-radius form, conversion
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