If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the cent of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation. Find the center-radius form for the circle having the endpoints (7,4) and (-3,8) of a diameter.

Q: Write the standard equation of a circle that has the end points of one of its diameters at (1,5) and…

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Q: The endpoints of a diameter of a circle are shown (-5,4) and (4,-1). What is the center and the…

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Q: Find the equation of the circle in standard form centered at (-7, 0) with a radius of 18 units.

A: Given that center and radius of circle are (-7 , 0) and 18

Q: Give the equation of the circle in standard form with center at (-3,-4) and radius 8 units

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Q: Find the equation of circle with (3, 2) , (- 1, 6) as the end point of a diameter .

A: To Find the equation of circle with (3, 2) , (- 1, 6) as the end point of a diameter .

Q: Write the equation of the circle in standard form: x2 – 6x + y² + 10y = –8.

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Q: Find the center and the leneth of the diameter of the circle whose diameters endpoints are (0,-4)…

A: End points of diameter of circle are -  (0, -4) and (7,8)

Q: 20. (8. 7) and (-10, -13)

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Q: radius

A: We have to show the graph and label the intersections  as points according to given information.

Q: Write the standard form of the equation for the circle with center (-2,5) and radius √11. Graph…

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Q: A circle with center (3, 2) contains the point (5, 6). Find an equation of the circle.

A: Given  The Center of the circle is (3,2) and the circle passes through the point (5,6). If we find…