COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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x2 + y2 = R
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R = √(x2-y2)
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x2-y2 = R
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None of these
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Detailed explanation-1: -Thus, using the theorem of Pythagoras, x2 + y2 = r2, and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
Detailed explanation-2: -We know that the general equation for a circle is ( x-h )^2 + ( y-k )^2 = r^2, where ( h, k ) is the center and r is the radius.
Detailed explanation-3: -Thus, the formula for x 2 + y 2 is x 2 + y 2 = x + y 2-2 x y .
Detailed explanation-4: -Originally Answered: Why is x²+y²=r² the equation of a circle? Because the Pythagorean theorem tells you that x^2 + y^2 is the square of the distance from the origin to the point (x, y).
Detailed explanation-5: -equation of a standard circle is x²+y²=r². It’s centre is at (0, 0) and radius is r.