A circle with centre (X, Y) and radius r has an equation of the form:
(x - X)² + (y - Y)² = r²
Equation of circle:
100x² + 100y² - 120x + 100y - 39 = 0
Divide all terms by 100:
x² + y² - 1.2x + y - 0.39 = 0
Rearrange bringing x terms and y terms together:
x² - 1.2x + y² + y - 0.39 = 0
Completing the squares:
(x - 1.2/2)² - (1.2/2)² + (y + 1/2)² - (1/2)² - 0.39 = 0
Collect the numbers together on the right hand side:
(x - 0.6)² - 0.6² + (y + 0.5)² - 0.5² - 0.39 = 0
(x - 0.6)² + (y + 0.5)² = 0.36 + 0.25 + 0.39
(x - 0.6)² + (y + 0.5)² = 1 = 1²
Centre of circle: (0.6, -0.5)
Radius of circle: 1
Equation of a circle when its centre is at (0, 0): x^2 + y^2 = radius^2 Equation of a circle when its centre is at (a, b): (x-a)^2 + (y-b)^2 = radius^2
Centre of the circle: (3, 8) Radius of the circle: 2 Cartesian equation of the circle: (x-3)^2 + (y-8)^2 = 4
The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.
A radius is a line drawn from the centre of a circle to the edge of that circle. It is half the length of the diameter of the circle.
Equation of circle: x^2 +y^2 -10x +6y -15 = 0 Completing the squares: (x-5)^2 +(y+3)^2 = 49 square units Therefore center of circle is at (5, -3) and its radius is 7 units
Equation of a circle centre the origin is: x2 + y2 = radius2 ⇒ radius = √9 = 3.
Centre = (0,0), the origin; radius = 11
A circle centre (0, 0) and radius r has equation x² + y² = r² The circle x² + y² = 36 has: r² = 36 → radius = 6
5. A circle with centre (0,0) has equation: x2 + y2 = radius2 With: x2 + y2 = 25 = 52 The radius is 5.
Equation of a circle when its centre is at (0, 0): x^2 + y^2 = radius^2 Equation of a circle when its centre is at (a, b): (x-a)^2 + (y-b)^2 = radius^2
Radius = 1111
The centre is (3,-1) and the radius is sqrt(10).
Type your answer here. Find the radius for a circle with the equation x2 plus y2 equals 9? ..
The equation describes a circle with its centre at the origin and radius = √13. Each and every point on that circle is a solution.
Centre of the circle: (3, 8) Radius of the circle: 2 Cartesian equation of the circle: (x-3)^2 + (y-8)^2 = 4
The equation for a circle, centre (a,b), radius r, is:(x-a)+(y-b)=r2So for a circle, centre (-3,2), r=7(x+3)+(y-2)=49
If that equals 16 then the radius is 4