Option A) Center: (2,5) & Radius=7 is the correct one.
<u>Step-by-step explanation:</u>
The general form of the equation of the circle is given as :
⇒ (x-h)² + (y-k)² = r²
where,
- (h, k) are coordinates of the center point of the circle.
- r is the radius of the circle.
Therefore, you need to compare the given equation with the general equation of the circle.
The given equation of circle is (x-2)² + (y-5)² = 49
From the given equation, it can be determined that
h = 2 and y = 5 and r² = 49
The center (h,k) of the circle is (2,5).
<u>To find the radius r :</u>
⇒ r² = 49
⇒ r = 7
The radius of the circle is 7.
∴ Option A) Center: (2,5) & Radius=7 is the correct one.
