Q. Find the center and radius of a circle in steps with answer being center being (8,0) and radius (23) the problem is (x−8)2+y2=12
Circle Equation Standard Form: The equation of a circle in standard form is (x−h)2+(y−k)2=r2, where (h,k) is the center and r is the radius.
Given Equation Comparison: Given equation: x-8)^2 + y^2 = 12\. Compare it with the standard form to find the center \$h,k.
Center Calculation: The center is (h,k)=(8,0) because h=8 and k=0.
Radius Calculation: Now, find the radius by taking the square root of 12, which is the value on the right side of the equation.
Radius Calculation: Now, find the radius by taking the square root of 12, which is the value on the right side of the equation.The radius r is 12, which simplifies to 23.
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