Find the centre and radius of each of the following circles : \(\Big(x

1.	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» 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.

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»

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.

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

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