Find the center and the radius of the circle given the equation of a circle
below.

(x - 2)^2 + (y – 5)^2 = 49

A: Center: (2,5) & Radius=7

B: Center: (5,2) & Radius=49

C: Center: (-2,-5) & Radius=49

D: Center: (-5,-2) & Radius= 7

Option A) Center: (2,5) & Radius=7 is the correct one.

Step-by-step explanation:

The general form of the equation of the circle is given as :

⇒ (x-h)² + (y-k)² = r²

where,

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).

To find the radius r :

⇒ r² = 49

⇒ r = 7

The radius of the circle is 7.

∴ Option A) Center: (2,5) & Radius=7 is the correct one.

answer:

what is your question that you ask

step-by-step explanation:

asdasdsad

step-by-step explanation: