QQuestionMathematics
QuestionMathematics
"Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle.
requals^1; (h,k)equalsleft parenthesis 8 comma negative 6 right parenthesis
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Part 1
The standard form of the equation of this circle is
enter your response here.
(Type your answer in standard form.)"
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Answer
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Step 1:: Identify the given values and recall the standard form of a circle's equation.
(x-h)^2 + (y-k)^2 = r^2
The given values are: - Radius, r = 1 - Center, (h, k) = (8, - 6) The standard form of a circle's equation is:
Step 2:: Plug the given values into the standard form.
(x-8)^2 + (y-(-6))^2 = 1^2
In this case, h = 8 and k = - 6. So, we have:
Step 3:: Simplify the equation.
(x-8)^2 + (y+6)^2 = 1
This simplifies to:
Final Answer
The standard form of the equation of the circle is: (x- 8)^2 + (y+ 6)^2 = 1
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