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Precalculus Circle Problems
Precalculus Circle Problems -
Circle with center 5 2 and area 9 square units Circle with center 8 3 and circumference 12 square units Find the area of the circle with equation x 12 2 pm x 5 2 7 Find the circumference of the circle with equation x 1 2 y 5 2 8 Answer 1 x 1 2 y 2 2 8
Example Question 1 Circles Find the center and radius of this circle Possible Answers Correct answer Explanation To solve this problem we need to get our function into the form where center h k and r radius To do this we need to complete the square with both the x an y parts of the equation
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Circles Precalculus Style YouTube
Circles Precalculus Style YouTube
To find the intersection we look for the points on the circle where y 2 Substituting y 2 into the circle equation lets us solve for the corresponding x values begin array l x 2 2 2 9 x 2 9 4 5 x pm sqrt 5 approx pm 2 236 end array nonumber
Step by Step Examples Precalculus Conic Sections Find the Center and Radius x2 4y2 1 x 2 4 y 2 1 Simplify each term in the equation in order to set the right side equal to 1 1 The standard form of an ellipse or hyperbola requires the right side of the equation be 1 1 x2 y2 1 4 1 x 2 y 2 1 4 1 This is the form of an ellipse
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Example Question 1 Circles Find the center and radius of this circle Possible Answers Correct answer Explanation To solve this problem we need to get our function into the form where center h k and r radius To do this we need to complete the square with both the x an y parts of the equation
https://tutorial.math.lamar.edu/Problems/Alg/Circles.aspx
Solution Write the equation of the circle with radius 7 7 and center 1 9 1 9 Solution For problems 3 5 determine the radius and center of the circle and sketch the graph of the circle x 9 2 y 4 2 25 x 9 2 y 4 2 25 Solution x2 y 5 2 4 x 2 y 5 2 4 Solution
Example Question 1 Circles Find the center and radius of this circle Possible Answers Correct answer Explanation To solve this problem we need to get our function into the form where center h k and r radius To do this we need to complete the square with both the x an y parts of the equation
Solution Write the equation of the circle with radius 7 7 and center 1 9 1 9 Solution For problems 3 5 determine the radius and center of the circle and sketch the graph of the circle x 9 2 y 4 2 25 x 9 2 y 4 2 25 Solution x2 y 5 2 4 x 2 y 5 2 4 Solution
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