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Write the equation in standard form for the circle with radius 1111 centered at the origin. ______

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Full solution

Q. Write the equation in standard form for the circle with radius 1111 centered at the origin. ______
  1. Identify center and radius: We need to identify the center and radius of the circle to write its equation in standard form. The standard form of a circle's equation is (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2, where (h,k)(h, k) is the center of the circle and rr is its radius.\newlineFor a circle centered at the origin, h=0h = 0 and k=0k = 0. The given radius is r=11r = 11.
  2. Substitute values into standard form equation: Substitute the values of hh, kk, and rr into the standard form equation of a circle.(x−0)2+(y−0)2=112(x - 0)^2 + (y - 0)^2 = 11^2
  3. Simplify the equation: Simplify the equation by squaring the radius and removing the unnecessary terms involving zero. x2+y2=121x^2 + y^2 = 121

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