(x - 5)^(2) + (y + 3)^(2) = 16
This is in the Cartesian Form
(x - 5)^(2) + (y + 3)^(2) = 4^(2)
This is now in the Pythagorean Form
The centre co-ordinates are the displacement of 'x' & 'y'
Hence ( 5, -3) ( Note the change of signs.
The radius is '4' ( The equated value).
(x-0)² + (y-0)² = r²
It is: (x-2)^2 +(y-7)^2 = 16
(x - 9)2 + (y + 5)2 = 16
The equation you provided, ( x^2 + y^2 = 16 ), represents a circle centered at the origin (0,0). To find the radius, you can rewrite the equation in the standard form ( x^2 + y^2 = r^2 ), where ( r ) is the radius. Here, ( r^2 = 16 ), so the radius ( r ) is ( \sqrt{16} = 4 ). Thus, the radius of the circle is 4 units.
To find the center and radius of the circle given by the equation (x^2 + y^2 - 8x - 4y - 16 = 0), we first rewrite it in standard form. Completing the square for both (x) and (y) gives us ((x - 4)^2 + (y - 2)^2 = 36). Thus, the center of the circle is at ((4, 2)) and the radius is (6) (since (r = \sqrt{36})).
It is: (x+3)^2 + (y-5)^2 = 16
(x-0)² + (y-0)² = r²
If that equals 16 then the radius is 4
If you mean: (x+5)^2 + (y+3)^2 = 16 Then its center is at (-5, -3) and its radius is 4
It is: (x-2)^2 +(y-7)^2 = 16
(x - 9)2 + (y + 5)2 = 16
You are describing a circle, with its center at the origin and a radius of 4 (the square root of 16)
The equation you provided, ( x^2 + y^2 = 16 ), represents a circle centered at the origin (0,0). To find the radius, you can rewrite the equation in the standard form ( x^2 + y^2 = r^2 ), where ( r ) is the radius. Here, ( r^2 = 16 ), so the radius ( r ) is ( \sqrt{16} = 4 ). Thus, the radius of the circle is 4 units.
To find the center and radius of the circle given by the equation (x^2 + y^2 - 8x - 4y - 16 = 0), we first rewrite it in standard form. Completing the square for both (x) and (y) gives us ((x - 4)^2 + (y - 2)^2 = 36). Thus, the center of the circle is at ((4, 2)) and the radius is (6) (since (r = \sqrt{36})).
x2 + y2= 16
4
If the radius of a circle is 8, then the diameter is 16. The diameter of a circle is two times of a radius The equation would be d = 2r so plugging in 8 for r, the equation would become d = 2(8) Therefore d is 16.