Question

write the standard form of the equation of the circle of radius r = 7 and center (h,k)=(0,0). the standard form of the equation of the circle is (type an equation. simplify your answer.)

Explanation:

Step1: Recall circle - equation formula

The standard - form equation of a circle with center \((h,k)\) and radius \(r\) is \((x - h)^2+(y - k)^2=r^2\).

Step2: Substitute the given values

Given \(h = 0\), \(k = 0\), and \(r = 7\). Substitute these values into the formula: \((x-0)^2+(y - 0)^2=7^2\).

Step3: Simplify the equation

\(x^{2}+y^{2}=49\).

Answer:

\(x^{2}+y^{2}=49\)