Question

2.2 score: 3/13 answered: 3/13 question 4 write the equation of the circle with center: (0,0) and radius: 7. question help: video ebook message instructor submit question

Explanation:

Step1: Recall circle - equation formula

The standard form of the 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

Here, \(h = 0\), \(k = 0\), and \(r = 7\). Substituting these into the formula, we get \((x-0)^2+(y - 0)^2=7^2\).

Step3: Simplify the equation

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

Answer:

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