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Center and radius to standard form calculator:

A) Quadratic equation calculator
B) Circle equation calculator
C) Polynomial calculator
D) Trigonometric calculator

1 Answer

7 votes

Final answer:

A Circle equation calculator is used to convert the center and radius of a circle to its standard form equation, which is represented as (x - h)² + (y - k)² = r², where (h,k) is the center and r is the radius. The correct option is B.

Step-by-step explanation:

The subject of the question is about converting the center and radius of a circle to the standard form of the circle's equation. To do this calculation, one would use a Circle equation calculator. The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Knowing the center and radius allows you to directly plug these values into the equation.

For example, if you know a circle has a center at (3,4) and a radius of 5, the equation in standard form would be (x - 3)² + (y - 4)² = 25. When it comes to significant figures in calculations like these, if the radius is given with a specific precision, such as 5.00 indicating three significant figures, the calculated numbers in the equation should also reflect three significant figures where applicable.

User Maciej Goszczycki
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