What is the equation of a circle with center (3, 8) and radius 2?

The equation of a circle with center (3, 8) and radius 2 will be given as

.

Equation of circle is given as,

where,

(a,b) are the coordinates of the center of the circle in form (x, y),

r is the radius of the circle.

Now, the equation of a circle with center (3, 8) and radius 2.

Given to us,

a = 3,

b = 8,

r = 2.

substituting the values,

Hence, the equation of a circle with center (3, 8) and radius 2 will be given as  .

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(x - 3)² + (y - 8)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (3, 8) and r = 2

(x - 3)² + (y - 8)² = 4 ← equation of circle

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step-by-step explanation: