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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22-04-2020
Mathematics

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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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Newton9022 Newton9022 · Answer 1 · 2020-04-22T06:40:13+02:00

Answer:

[tex]x^2+y^2=81[/tex]

Step-by-step explanation:

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

[tex](x-h)^2+(y-k)^2=r^2[/tex]

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:

[tex](x-0)^2+(y-0)^2=9^2\\x^2+y^2=81[/tex]

The standard form is: [tex]x^2+y^2=81[/tex]

keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-11T08:35:06+01:00

The equation of the circle whose center is at (0,0) and the radius is 7 is [tex]\rm x^2+y^2=49[/tex] and the equation of the circle whose center is at (0,0) and the radius is 9 is [tex]\rm x^2+y^2=81[/tex].

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:

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex] --- (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.

[tex]\rm x^2+y^2=81[/tex]

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

[tex]\rm x^2+y^2=49[/tex]

For more information, refer to the link given below:

https://brainly.com/question/10165274