# What is the radius of the circle whose equation is x^{2} + y^{2} = 8?

**Solution:**

The general equation of the circle is given by (x - h)^{2} + (y - k)^{2} = r^{2}

Where, (h,k) is the center

r is the radius

Given, the equation of the circle is x^{2} + y^{2} = 8

So, r^{2} = 8

Taking square root,

r = 2√2

Therefore, the radius of the circle is 2√2 units.

Example: **What is the radius of the circle whose equation is x**^{2}** + y**^{2}** = 9?**

**Solution:**

The general equation of the circle is given by (x - h)^{2} + (y - k)^{2} = r^{2}

Where, (h,k) is the center

r is the radius

Given, the equation of the circle is x^{2} + y^{2} = 9

So, r^{2} = 9

Taking square root,

r = 3

Therefore, the radius of the circle is 3 units.

## What is the radius of the circle whose equation is x^{2} + y^{2} = 8?

**Summary:**

The radius of the circle whose equation is x^{2} + y^{2} = 8 is 2√2 units.

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