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Suppose two different diameters are drawn on a circle. Explain how you can use these diameters to find the center of the circle.

Suppose two different diameters are drawn on a circle. Explain how you can use these-example-1
Suppose two different diameters are drawn on a circle. Explain how you can use these-example-1
Suppose two different diameters are drawn on a circle. Explain how you can use these-example-2

2 Answers

9 votes

Answer:

the diameter of a circle always passes the center, by knowing two diameters, you know the center is where they intersect

Explanation:

yeah

User Johan Classon
by
7.2k points
10 votes

To find the center of a circle given two different diameters, we can use the fact that the center of a circle is the midpoint of its diameter.

How to find the center of the circle?

To find the center of a circle given two different diameters, we can use the fact that the center of a circle is the midpoint of its diameter.

Therefore, we can find the midpoint of each diameter using the midpoint formula, which states that the midpoint of two points (x₁, y₁) and (x₂, y₂) is
[((x_(1) + x_(2)) )/(2), ((y_(1) + y_(2)) )/(2)]

Once we have the midpoints of the two diameters, we can draw a line connecting them, which will pass through the center of the circle. The point where the two lines intersect is the center of the circle

User Lkdg
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6.9k points
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