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Answer:

The Answer is 2 Units on edg 2020

Step-by-step explanation:

The radius of a circle whose equation is given is x²+y²+8x−6y+21=0 is; 2.

Radius of a circle

The given equation of the circle is;

  • x²+y²+8x−6y+21=0.

Hence, by collecting like terms and subsequent factorisation by completing the square method, it follows that;

  • (x+4)² + (y-3)² -16 -9 +21 = 0.

  • (x+4)² + (y-3)² = 4

  • (x+4)² + (y-3)² = 2².

By comparison of the equation above with the standard form equation of a circle, it follows that the radius of the circle is; 2

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