Respuesta :
Answer: center: (2,-3) radius: 6
Step-by-step explanation:
Radius = 6 and center = (2,3) of the given circle with the equation (x -2)² +(y -3)² =36.
What is circle?
"A circle is a two dimensional shape which is equidistant from all the points on its surface."
Formula used
Equation of the circle with center (h , k) and radius 'r' units is given by
(x - h)² + (y - k)² = r²
According to the question,
Given equation of the circle is given by
(x -2)² +(y -3)² =36
⇒ (x -2)² +(y -3)² = 6²
Compare it with formula of a circle we have,
Center (h ,k) = (2 , 3)
Radius 'r' = 6
Hence, radius = 6 and center = (2,3) of the given circle with the equation (x -2)² +(y -3)² =36.
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