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 = r2

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

∴ The equation of the circle will be

(x - 1)2 + (y - 4)2 = 22

(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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