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Suppose you are given a circle. Give a construction to find its centre.​

User Schinj
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2 Answers

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Steps of construction :

  • (i) Take three distinct points on the circle say A, B and C.

  • (ii) Join AB and AC.

  • (iii) Draw the perpendicular bisectors of AB and AC which intersect each other at O.

♣ O is the required centre of the given circle.

User D Kramer
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Explanation:

To find the center of a given circle, follow these steps:

To find the center of a given circle, follow these steps:Step 1: Draw any two chords inside the circle.

To find the center of a given circle, follow these steps:Step 1: Draw any two chords inside the circle.Step 2: Draw perpendicular bisectors for both chords. To do this, find the midpoint of each chord, and then draw a line perpendicular to the chord and passing through its midpoint.

To find the center of a given circle, follow these steps:Step 1: Draw any two chords inside the circle.Step 2: Draw perpendicular bisectors for both chords. To do this, find the midpoint of each chord, and then draw a line perpendicular to the chord and passing through its midpoint.Step 3: The point where the two perpendicular bisectors intersect is the center of the circle.

To find the center of a given circle, follow these steps:Step 1: Draw any two chords inside the circle.Step 2: Draw perpendicular bisectors for both chords. To do this, find the midpoint of each chord, and then draw a line perpendicular to the chord and passing through its midpoint.Step 3: The point where the two perpendicular bisectors intersect is the center of the circle.Step 4: Draw a line from the center point to any point on the circle to verify that it is equidistant from all points on the circumference, confirming that it is indeed the center.

To find the center of a given circle, follow these steps:Step 1: Draw any two chords inside the circle.Step 2: Draw perpendicular bisectors for both chords. To do this, find the midpoint of each chord, and then draw a line perpendicular to the chord and passing through its midpoint.Step 3: The point where the two perpendicular bisectors intersect is the center of the circle.Step 4: Draw a line from the center point to any point on the circle to verify that it is equidistant from all points on the circumference, confirming that it is indeed the center.By following these steps, you can construct the center of the given circle.

User Red Swan
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