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# A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle?

**Solution:**

The general equation of a circle centred at (h, k) and radius ‘r’ given as

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

Given: (h, k) = (1, 4) and r = 2units

∴ The equation of the circle will be

(x - 1)^{2} + (y - 4)^{2} = 2^{2}

(x - 1)^{2} + (y - 4)^{2} = 4

## A circle has its center at (1, 4) and a radius of 2units. What is the equation of the circle?

**Summary:**

The equation of the circle having its center at (1, 4) and a radius of 2units is (x - 1)^{2} + (y - 4)^{2} = 4.

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