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Find the length of the diameter of a circle that has a center at Point T (3, 1) and passes through the point (1, -6).

User Mkhatib
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1 Answer

6 votes

Answer:


D=14.56

Explanation:

We know that the diameter of a circle is twice the radius.

Calculate the radius of the circle with the formula for calculate the distance between two points:


d=r=√((x_2-x_1)^2+(y_2-y_1)^2)

Where "r" is the radius.

Knowing that the center of the circle is at point (3, 1) and the circle passes through the point (1, -6), we can substitute values into the formula to find the radius:


r=√((3-1)^2+(1-(-6))^2)=√(53)

Then the diameter of the circle is:


D=2r\\D=2√(53)


D=14.56

User Terryann
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