Write the standard form of the equation of the circle


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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

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Answer:

x^2+y^2=81

Step-by-step explanation:

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

(x-h)^2+(y-k)^2=r^2

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

  • Centre(h,k)=(0,0), r=9

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

(x-0)^2+(y-0)^2=9^2\\x^2+y^2=81

The standard form is: x^2+y^2=81


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