How do you find the equation of a circle with center 0 0?

Detailed Solution. Concept: Equation of a circle, with center (x₀, y₀) and radius r is given by (x – x₀)² + (y – y₀)² = r. And the radius of the circle can be calculated using the formula r = | A x 0 + B y 0 + C | A 2 + B 2 ;where A, B, C are the constant coefficients of the equation of tangent line Ax + By + C = 0.

What is the equation of a circle with centre 0 0?

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 .

What is the equation of a circle if the center is 0 0 and the radius is 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.

What is the general equation of the circle whose center is 0 0 and whose radius is 5?

The equation of a circle whose center is 0 and who radius is 5 is x^2 + y^2 = 25.

What is the equation of a circle whose center is at 0 0 and diameter of 8?

The equation of circle is x2+y2=r2x2+y2=82×2+y2=64. Was this answer helpful?

What is the equation of circle with 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 at 0 0 and a radius of 2?

The general equation of a circle is (x−h)2+(y−k)2=r2 , where the centre of the circle is (h,k) and the radius is r .

What is the equation of a circle if the center is at 3 0 and the radius is 3?

The equation of a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center and r is the radius. If the center is at (−3,0) and the endpoint of the radius is at (3,0) , then the length of the radius is the distance between the two points, which is 3−(−3)=6 .

How do you determine the equation of the unit circle with center at 0 0 and radius 1?

A unit circle is formed with its center at the point(0, 0), which is the origin of the coordinate axes. and a radius of 1 unit. Hence the equation of the unit circle is (x – 0)² + (y – 0)² = 1². This is simplified to obtain the equation of a unit circle.

What is the equation of the circle with center 0 0 and radius 4?

So the equation is x2+y2=42×2+y2=16.

What is an 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 for the circle with center 2 and R 3?

The standard form of the equation of a circle is. 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 do you find the equation of a circle given the center and a point it passes through?

Video quote: And that equation is X minus H squared plus y minus K squared equals R squared. So write to write the equation of the circle. We need to know the center and the radius.

How do you find the equation of a circle with the center and tangent?

Video quote: If I say draw a line that's tangent to the circle. This is a line tangent to the circle it touches at exactly one point right. This would be a line that crosses the circle it touches that two points.

How do you find the equation of a circle with center at the origin and passing through (- 6 2 )?

The equation of a circle with center (h,k) and radius r is given by (x−h)2+(y−k)2=r2 . For a circle centered at the origin, this becomes the more familiar equation x2+y2=r2 .

How do you write the equation of a circle with the center and radius?

Video quote: So the standard form of the equation of a circle with Center HK. And radius R is X minus H squared plus y minus K squared equals R squared so in order to write the equation of a circle.

How do you find the equation of a circle with the center and circumference?

Video quote: Well the area of a circle is PI R squared equals 36. Hi. So divided by pi divided by pi r squared equals 36.

How do you solve a circle equation?

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.

Which of the following is an equation of the circle with its center at 0 0 that passes through 3 4 in the standard X Y coordinate plane?

Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane? The correct answer is K. The radius of the circle is the distance between (0,0) and (3,4), which is √((3-0)2+ (4-0)2) = 5.

How do you find an equation?

Video quote: Using those two points then here's the formula M which represents the slope is equal to y2 minus y1 divided by x2 minus x1 now an ordered pair is written like this X comma Y.

What is an example of an equation in math?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What are the steps to solve an equation?

A General Rule for Solving Equations

1. Simplify each side of the equation by removing parentheses and combining like terms.
2. Use addition or subtraction to isolate the variable term on one side of the equation.
3. Use multiplication or division to solve for the variable.

How do you find the equation of a straight line?

Video quote: And when you know the gradient and y-intercept you can write down the equation. Because every straight line always has to form y equals MX plus C.

How do you find the equation of a straight line parallel?

Video quote: Or gradient parallel lines have the same gradients. And to find the equation of parallel lines. We still use the y equals MX plus C equation.

What is the equation of a line with a y-intercept at 0 6 and a slope of 3?

2/2 We know the slope is 3 and the y-intercept is (0, 6). The equation is y = 3x + 6.