## Posts Tagged ‘circle with a center’

## Problem 1123

Write the standard form equation of a circle with a center at (-3, 4) and a radius of 4.

**Solution:-**

Substitute the coordinates and write in standard form:

(x -h)^{2} + (y – k)^{2} = r^{2}

So the equation is

=> (x +3)^{2} + (y – 4)^{2} = 4^{2}

=> (x +3)^{2} + (y – 4)^{2} = 16

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## Problem 484

Write the equation of a circle with a center at (-4, 2) and a radius of 5.

**Solution:-**

Use the general formula (x – h)^{2} + (y – k)^{2} = r^{2}

Where (h , k) center of the circle and r is radius .

(x + 4)^{2} + (y – 2)^{2} = 25

## Problem 483

Write the equation of a circle with a center at (-2, -5) and a radius of 6.5.

**Solution:-**

Use the general formula (x – h)^{2} + (y – k)^{2} = r^{2}.

Where (h, k) are the center and r = radius.

(x + 2)^{2} + (y + 5)^{2} = 42.25