# What is the radius of a circle whose equation is (x - 7)^{2} + (y - 10)^{2} = 4?

**Solution:**

Standard form of equation of a circle is

(x - h)^{2} + (y - k)^{2} = r^{2}

Where (h, k) is the center

r is the radius

(x - 7)^{2} + (y - 10)^{2} = 4 [Given]

This is rewritten as (x - 7)^{2} + (y - 10)^{2} = 2^{2}

Comparing it with the standard form

(h, k) = (7, 10)

Radius of the circle r = 2

Therefore, the radius of a circle is 2.

## What is the radius of a circle whose equation is (x - 7)^{2}+ (y - 10)^{2}= 4?

**Summary:**

The radius of a circle whose equation is (x - 7)^{2} + (y - 10)^{2} = 4 is 2.

Math worksheets and

visual curriculum

visual curriculum