QQuestionMathematics
QuestionMathematics
In general, what is the leftmost point of a circle with radius r centered at (x,y)?
A. (x,y)
B. (x−r,y−r)
C. (x,y+r)
D. (x−r,y+r)
E. (x−r,y)
F. (x,y−r)
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the circle's properties
- The circle is centered at the point (x,y) - The radius is r - We want to find the leftmost point of the circle
Step 3:: Determine the leftmost point's coordinates
- The leftmost point will be r units to the left of the center point - This means the x-coordinate will be reduced by r - The y-coordinate remains the same as the center point
Step 4:: Calculate the coordinates
- Leftmost point coordinates: $$(x-r, y)
- y-coordinate: y
Step 5:: Compare with given options
Looking at the options, we can see that $$(x-r, y)$$ corresponds to option E.
Final Answer
Explanation: - To find the leftmost point, we move r units left from the center point - This shifts the x-coordinate left by r while keeping the y-coordinate unchanged - The resulting point is r units to the left of the circle's center
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