Write the equation in standard form for the circle with radius 9 centered at the origin. Sorry, incorrect... The correct answer is: Explanation review You answered: Learn with an example question Write the equation in standard form for the circle with radius 7 centered at the origin. key idea A circle is the set of points in a plane that are the same distance from a fixed point. The distance is the radius. The point is the center. The equation of a circle in standard form is (x–h)2+(y–k)2=r2. The center is (h, k). The radius is r. The origin is (0, 0). solution You are given the coordinates of the center and the radius, so plug them in. (x–h)2+(y–k)2 = r2 (x–0)2+(y–0)2 = 72 Plug in h=0, k=0, and r=7 x2+y2 = 49 Questions answered

The equation of the circle whose center is at (0,0) and the radius is 7 is and the equation of the circle whose center is at (0,0) and the radius is 9 is .

Given :

The circle with a radius 9 is centered at the origin.

The following steps can be used in order to determine the equation in standard form for the circle:

Step 1 - The generalized equation of the circle is given below:

   --- (1)

where (h,k) represents the coordinates of the center of the circle and r is the radius of the circle.

Step 2 - According to the given data, the center of the circle is at (0,0) and the radius of the circle is 9.

Step 3 - Substitute the values of all the known terms in equation (1) in order to determine the equation of the circle.

Step 4 - Now, the equation of the circle whose center is at (0,0) and the radius is 7 is given by:

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Step-by-step explanation:

The standard form of the equation of a circle of radius r, with centre (h, k) is given as:

We are required to write an equation in standard form for the circle with radius 9 centered at the origin.

Substituting these values into the Standard form of the equation of a circle given above:

The standard form is: