How do you find the equation of a circle given center and radius?
To find the equation of a circle when you know the radius and centre, use the formula ( x − a ) 2 + ( y − b ) 2 = r 2 , where represents the centre of the circle, and is the radius.
How do you find the equation of a circle given the center?
The equation of a circle with center (h,k) and radius r units is (x−h)2+(y−k)2=r2 .
What is the equation of a circle with center and radius 4?
So the equation is x2+y2=42×2+y2=16.
What is the equation of a circle with center and radius 6?
So, if the center is (0,0) and the radius is 6, an equation of the circle is: (x-0)2 + (y-0)2 = 62.
Which is the equation of a circle with center (- 2 3 and radius r 5?
Detailed Solution Here, centre (h, k) = (2, – 3) and radius r = 5 units. Hence, the equation of a circle with centre at (2, – 3) and radius 5 units is x 2 + y 2 − 4 x + 6 y − 12 = 0 .
What is the equation of a circle with center 2 1 and radius 3?
The equation of the circle whose center is (2,1) and radius is 3 is (x – 2)2 + (y – 1)2 = 9.
What is the equation of a circle with center 2 0 and radius 3?
The equation of the circle with center (-2,3) and radius = 3 units will be x2 + y2 + 4x – 6y + 4 = 0.
What is the equation of a circle with radius 2 and center (- 3 5?
The equation of a circle with the center (3,5) and radius = 2 cm is (x – 3)2 + (y – 5)2 = 4.
What is the equation of a circle with radius 2 and centre 3 4?
Summary: The equation of the circle with center (2, -3) and a radius of 4 is x2 + y2 – 4x + 6y = 3.
What is the equation of a circle that has the center of (- 3/5 and radius of 6?
Solution: Given, center coordinates = (-3, -5) and radius = 6 units. r = radius of the circle. Thus the equation of the circle, can be given as (x + 3)2 + (y + 5)2 = 36.
What is the equation of the circle with center at the origin and radius 3 2 *?
1 Expert Answer Since the center is the origin, it’s coordinates are (0,0). So, we have (x-0)2 + (y-0)2 = (3/2)2. Since x-0 =x and y-0 = y, your equation looks like x2 + y2 = (3/2)2, or A.
What is the equation of a circle with center (- 2 3 and radius 3?
What is the equation of a circle with radius 2 and center (- 3 5 )?
What is the equation of a circle with center (- 3/5 and radius 4?
A general circle with centre (a,b) and radius r has equation (x−a)2+(y−b)2=r2 .
What is the equation of a circle with center (- 2 3 and radius 5?
What is the equation of a circle with center (- 2 3 and radius 4?
What is the equation of a circle with center − 5’2 and radius 5?
(x−5)2+(y+2)2=4 .
What is the equation of the circle with center at 3/5 and radius of 2 units?
Summary: The equation of a circle with the center (3,5) and radius = 2 cm is (x – 3)2 + (y – 5)2 = 4.
Which equation represents a circle with a center at (- 4 9 and a diameter of 10 units?
Summary: The equation which represents a circle with a center at (-4, 9) and a diameter of 10 units is (x + 4)2 + (y – 9)2 = 25.
What is the equation of a circle with center 2 3 and radius 3 ABCD?
where (a ,b) are the coordinates of the centre and r, the radius. Substitute these values into the standard equation. ⇒(x+2)2+(y+3)2=9 is the circle’s equation.
How to find the radius of the circle with the equation?
Find the radius of the circle from the equation. What is the radius of the circle with the equation (x − 1)2 + (y + 2)2 = 9? Find the number not in brackets. It is usually written to the right of the equals sign (=). In our example, it is 9 . Find the square root of the answer (9).
How to find the centre of a circle from the equation?
Finding the centre and radius from the equation of a circle is easy. Find the Cartesian coordinates of the centre of the circle from the equation. What is the centre of the circle with the equation (x − 1)2 + (y + 2)2 = 9? Find the brackets with the x in it.
What is the radius of the circle with the center H?
The center of the circle ( h, k) (h,k) ( h, k) is ( − 1, 0) (-1,0) ( − 1, 0) and the radius is 1 9 / 6 \\sqrt {19/6} √ 1 9 / 6 . Rule out − 1 9 / 6 -\\sqrt {19/6} − √ 1 9 / 6 because a radius can’t be negative.