Find the centre and radius of each of the following circles : (x-1/2)^2+(y+1/3)^2=1/16

Question

Find the centre and radius of each of the following circles : \(\Big(x-\frac{1}{2}\Big)^2+\Big(y+\frac{1}{3}\Big)^2=\frac{1}{16}\)

Answer 1

The general form of the equation of a circle is: 

(x - h)² + (y - k)² = r² 

Where, (h, k) is the centre of the circle. 

r is the radius of the circle. 

Comparing the given equation of circle with general form we get: 

h = 1/2 , k = - 1/3, r² = 1/16 

⇒ centre = (1/2, - 1/3) and radius = 1/4 units. 

Ans: centre = (1/2, - 1/3) and radius = 1/4 units.