Question

Find the center and radius of circle and graph it


`x^(2) + (y-(5)/(2) ) ^(2) = (9)/(4)`

Answer 1

centre = (0,5/2)

radius = 3/2

Explanation:

The centre-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being "r"

Given in the question an expression which can be write as

(x – 0)² + (y – (5/2))² = (3/2)²

So, by translating we can say that

centre = (0,5/2)

and

radius = 3/2