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ASHA 777 [7]
3 years ago
13

The circle below is centered at the point (4.1) and has a radius of length 2.What is its equation?

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

Hence the required equation of circle is

(x - 4)² + ( y - 1)² = 4

Step-by-step explanation:

The equation of a circle whose center (h, k) and radius r is given-

(x - h)² + (y - k)² = r²

Here given that-

Center = ( 4, 1) & r = 2

Equation of circle-

<em>( x - 4)² + ( y - 1)² = 2²</em>

<em>(x - 4)² + ( y - 1)² = 4</em>

<em>x² + 16 - 8 x + y² + 1 - 2 y = 4</em>

<em>x² + y² -8 x - 2 y + 13 = 0 </em>

Hence the required equation of circle is

(x - 4)² + ( y - 1)² = 4

         0R

x² + y² - 8 x - 2 y + 13 = 0

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