Is the Equation in a Circle Correct?

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  • Thread starter hossam killua
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In summary, the equation in a circle is not always correct and its validity depends on the specific equation and values used. To determine if an equation is in a circle, it must follow the standard form of (x-h)^2 + (y-k)^2 = r^2, and it can have more than one solution. The equation in a circle is significant in mathematics as it represents the relationship between points on a circle and is used to solve problems in various fields. There are also other forms of equations for a circle, such as the general and parametric forms.
  • #1
hossam killua
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the equation in circle is right ??
 
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  • #2
Your image seems to be cropped on the right.

For something like this, it would be better to use $\LaTeX$. All of the symbols you need are in the "Set Theory/Logic" section of our "Quick $\LaTeX$" element:

CommandOutput
\lor\(\displaystyle \lor\)
\And\(\displaystyle \And\)
\lnot\(\displaystyle \lnot\)
\iff\(\displaystyle \iff\)
 
  • #3
hossam killua said:
the equation in circle is right ??
Yes. Disjunction is idempotent: $x\lor x\iff x$.
 

1. Is the equation in a circle always correct?

No, the equation in a circle is not always correct. It depends on the specific equation and the values used.

2. How do I know if an equation is in a circle?

An equation is in a circle if it follows the standard form of (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius.

3. Can an equation in a circle have more than one solution?

Yes, an equation in a circle can have more than one solution. This means that there can be more than one point that satisfies the equation and lies on the circle.

4. What is the significance of the equation in a circle in mathematics?

The equation in a circle is important in mathematics because it represents the relationship between the coordinates of points on a circle. It is also used to solve problems involving circles in various fields such as geometry, physics, and engineering.

5. Are there other forms of equations for a circle?

Yes, there are other forms of equations for a circle such as the general form of x^2 + y^2 + Dx + Ey + F = 0 and the parametric form of x = h + rcos(t), y = k + rsin(t), where (h,k) is the center of the circle, r is the radius, and t is the angle in radians.

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