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Answer: a. Radius of circle =
b. The equation of this circle :
Step-by-step explanation:
Given : Center of the circle = (3,10)
Circle is passing through (12,12).
a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)
Radius of circle =
Radius of circle =
i.e. Radius of circle =
b. Equation of a circle = , where (h,k)=Center and r=radius of the circle.
Put the values of (h,k)= (3,10) and r= , we get
∴ The equation of this circle :
Explanation
Step 1
We know that the general equation for a circle is
where
(h,k) is the center of the circel
and r is the radius
then, all we need to do is replace
Let
replace the values
therefore, the answer is
I hope this helps you