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: 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: Find an equation of the circle whose diameter has endpoints (-4, 3) and (6, – 1). O=0

A: Recall: Equation of the circle : x-h2 +y-k2=r2 ; (h,k) is the center and 'r' is the radius.

Q: Determine the equation of the circle with radius 33​ and center (−1,0).

A: circle with radius 33​ and center (−1,0).

Q: Write the equation of circle with the following characteristics: Center at (1,7) and the circle has…

A: Given:- center (1,7) and area lf circle is 25π  To find:- Equation of circle with given conditions

Q: the equation of the circle having the points (2,10) and (-8,-14) the ends of its diameter.

A: As the equation of circle having (h, k) and radius r is given by (x-h)2 + (y-k)2 = r2

Q: Give the standard form of the equation of the circle that has its center at (-5, -8) and diameter of…

A: Formula:

Q: determine the radius and the coordinates of the center of the circle which equation x2+y2-4x+8y+3=0

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Q: Given a circle with center at (-2, 5) and diameter of 16, write an equation to represent this…

A: The equation of a circle is (x-a)2 + (y-b)2 = r2, where (a,b) is the centre of the circle, and r is…

Q: Find all the intersection points of the following two circles: - The center circle (0,0) And its…

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Q: If P=(-2,-1) and Q=(-6,-3) are the endpoints of the diameter of a circle, find the equation of the…

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Q: Find the equation of the circle circumscribed by the triangle ABC, where A=[-1,-1], B=[-5,2],…

A: Triangle ABC with vertices A-1, -1, B-5, 2 & C1, 10. Now let Ph, k be the center of the circle.…