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What is the equation of a circle when its diameter endpoints are at 2 -3 and 8 7?
radius = ½ diameter
= ½ Distance between endpoints
= ½√((difference in x)² + (difference in y)²)
= ½√((8 - 2)² + (7 - -3)²)
= ½√(6² + 10²)
= ½√136
Centre of circle = midpoint of diameter
= (mean average of x, mean average of y)
= ((2 + 8)/2, (-3 + 7)/2)
= (5, 2)
Circle with centre (Xc, Yc) and radius r has equation:
(x - Xc)² + (y - Yc)² = r²
Which for circle with centre (5, 2) and radius ½√136 gives:
(x - 5)² + (y - 2)² = (½√136)² = ¼ × 136 = 34
→ (x - 5)² + (y - 2)² = 34
This can be expanded and rearranged to get:
x² -10x + 25 + y² - 4y + 4 - 34 = 0
→ x² - 10x + y² - 4y - 5 = 0
What else can I help you with?
What is the equation of a circle when the endpoints of its diameter are at 10 -4 and 2 2 on the Cartesian plane?
Endpoints: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to (10, -4) or (2, 2): 5 which is the radius of the circle Therefore equation of the circle: (x-6)^2 + (y+1)^2 = 25
If you Give a circle with a diameter of 4 what is the circumference?
the equation for the circumference of a circle is 2*radius*pi, or since the radius is half of the diameter 2*radius=diameter, we can simplify the equation to the circumference of a circle=diameter*pi
What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
How do you find the area of a circle using its diameter?
The area of a circle is pi(radius)2 Radius is half the diameter. Simply divide the diameter in half and enter it into the equation 3.14(diameter/2)2
How many radii of a circle will equal its circumference?
Well, the equation for finding the circumfrence of a circle is (diameter)(pi). That is diameter times pi. since the diameter of a circle is 2 radii, we can say that there is 2(pi) radii in a circle.
Does diameter has 2 endpoints that are on the circle?
Yes, it have.
What is the equation of a circle when the endpoints of its diameter are at 10 -4 and 2 2 on the Cartesian plane?
Endpoints: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to (10, -4) or (2, 2): 5 which is the radius of the circle Therefore equation of the circle: (x-6)^2 + (y+1)^2 = 25
What is the center of the circle with a diameter whose endpoints are (27) and (-6-1)?
Diameter endpoints: (2, 7) and (-6, -1) Centre of circle will be the midpoint which is: (-2, 3)
What is an equation of the circle whose diameter has endpoints -3 1 and 5 -2?
The equation works out as: (x-1)2+(y+0.5)2 = 18.25 Equation of a circle: (x-a)2+(y-b)2 = radius2 whereas a and b are the coordinates of the circle's centre
What is the equation of a circle whose endpoints of its diameter are at 2 2 and 10 -4 on the Cartesian plane showing work?
Endpoints: (2, 2) and (10, -4) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to (2, 2) or (10, -4) = 5 which is the radius of the circle Therefore equation of the circle: (x-6)^2 + (y+1)^2 = 25
Two of the endpoints of the diameter of a circle are at A -6 and 8 and B 6 and -8 1. determine the radius of the circle 2. state an equation of the circle I appreciate the help.?
dinosaurs
What is the equation of a circle having a diameter with endpoints -3 1 and 5 7?
The equation works out as: (x-1)2+(y-4)2 = 25 whereas (1, 4) is the circle's centre and 25 is the radius2
What is the equation of a circle whose diameter endpoints are at 2 -3 and 8 7 on the Cartesian plane and what are the tangent equations touching its endpoints showing work?
Endpoints: (2, -3) and (8, 7)Centre of circle: (5, 2)Radius of circle is the square root of 34Equation of the circle: (x-5)^2 +(y-2)^2 = 34Slope of radius: 5/3Slope of tangents: -3/51st tangent equation: y--3 = -3/5(-2) => 5y = -3x-92nd tangent equation: y-7 = -3/5(x-8) => 5y = -3x+59
If you Give a circle with a diameter of 4 what is the circumference?
the equation for the circumference of a circle is 2*radius*pi, or since the radius is half of the diameter 2*radius=diameter, we can simplify the equation to the circumference of a circle=diameter*pi
What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
What is the equation for the diamiter of a circle?
Diameter = 1/2 of the circle's radius. Diameter = 2 times the square root of (the circle's area/pi) Diameter = the circle's circumference/pi
A diameter of a circle has endpoints P(-10-2) and Q(46) a.)find the center of the circle b.)find the radius. if your answer is not an integer express it in radical form c.)write an eqaution for the ci?
Endpoints of diameter: (-10, -2) and (4, 6)Midpoint which is the center of the circle: (-3, 2)Radius of the circle: square root of 65Equation of the circle: (x+3)^2 +(y-2)^2 = 65
