What is the equation of a circle formula?
The standard form equation of a circle is given by: (x – x1)² + (y – y1)²= r², where (x, y) is the arbitrary coordinates on the circumference of the circle, r is the radius of the circle, and (x1, y1) are the coordinates of the center of the circle.
What is the conic equation of a circle?
Circle Conic Section The equation of a circle is (x – h)2 + (y – k)2 = r2 where r is equal to the radius, and the coordinates (x,y) are equal to the circle center.
What is diametric equation of circle?
Diametric Form ( x − x 1 ) ( x − x 2 ) + ( y − y 1 ) ( y − y 2 ) = 0.
How is the Pythagorean Theorem distance formula and equation of a circle related?
Look at the equation of a circle with center (a,b) and radius r. Consider the right triangle with sides A=x−a,B=y−b and C=r. You see that the equation of the circle is just the Pythagorean theorem.
What is the Pythagorean Theorem distance formula?
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
What is the formula used for the Pythagorean Theorem?
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where ‘c’ = hypotenuse of the right triangle and ‘a’ and ‘b’ are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
Does Pythagoras work with semicircles?
Therefore, we have shown that Pythagoras’ Theorem is true for semicircles. Will it work for any other shape? Yes! The Pythagorean Theorem can be taken further into a shape-generalized form as long as the shapes are similar (has a special meaning in Geometry).
What is x² +y²?
Answer: (x2 + y2) = (x + y)2 – 2xy or (x – y)2 + 2xy. Consider the equation. (x + y)2 = x2 + y2 + 2xy…………………….(1)
What is the value of X² y²?
Hence, the value of (x² + y²) is 8.