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The mid point of the diameter is the circle's centre:
Mid point of (2, -3) and (8, 7) is ((2 + 8)/2, (-3 + 7)/2) = (5, 2)
The radius is half the diameter, but as the equation for a circle requires the radius squared:
radius = diameter/2
→ radius² = diameter² / 4
Diameter (and diameter²) can be found using Pythagoras:
diameter² = change_in_x² + change_in_y²
= (8 - 2)² + (7 - -3)²
= 6² + 10²
= 136
→ radius² = 136/4 = 34
Circle with centre (X, Y) and radius r has equation:
(x - X)² + (y - Y)² = r²
→ (x - 5)² + (y - 2)² = 34
→ x² -10x + 25 + y² - 4y + 4 = 34
→ x² + y² - 10x - 4x - 5 = 0
What else can I help you with?
What is the equation of a circle whose center is at the origin and whose radius is 10?
The equation of circle is (x−h)^2+(y−k)^2 = r^2, where h,k is the center of circle and r is the radius of circle. so, according to question center is origin and radius is 10, therefore, equation of circle is x^2 + y^2 = 100
What is the equation of a circle whose diameter end points are at 10 -4 and 2 2 on the Cartesian plane?
End points: (10, -4) and (2, 2) Midpoint: (6, -1) Distance from (6, -1) to (10, -4) = 5 Distance from (6, -1) to (2, 2) = 5 Equation of the circle: (x-6)^2 +(y+1)^2 = 25
Equation of a line whose x-intercept is 3 and whose y-intercept is -5?
8
The set of points whose coordinates satisfy an equation is called what the of the equation?
Just took the vocab test the answer is graph.
What is the diameter of a circle whose area is 200.96?
The diameter of a circle whose area is 200.96 is: 16
What is the equation of a circle whose diameter end points are at 8 7 and 2 -3 on the Cartesian plane?
End points: (8, 7) and (2, -3) Midpoint: (5, 2) which is the center of the circle Radius: square root of 34 Equation of the circle: (x-5)^2 +(y-2)^2 = 34
Do all diameters pass through the center of a circle?
Yes. In geometry, a diameter of a Circleis any straight Line_segmentthat passes through the center of the circle and whose endpoints are on the circle.
A Polygon whose vertices are on a circle and whose other points are inside the circle?
Inscribed Polygon
What is a line segment whose endpoints are points of the circle?
That's a "chord" of the circle.
What is the Cartesian equation of a circle whose end points of its diameter are at 10 -4 and 2 2?
End points: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to any of its end points = 5 which is the radius Therefore the Cartesian equation is: (x-6)^2 +(y+1)^2 = 25
What is the equation of a circle whose center is at the origin and whose radius is 4?
x2 + y2 = 2
What is a polygon whose vertices are on a circle and whose other points are inside the circle?
The inscribed polygon this is the correct answer trust me thank you love someone
What is polygon whose vertices are on a circle and whose other points are inside the circle?
The inscribed polygon this is the correct answer trust me thank you love someone
What is a polygon whose vertices are on the circle and whose other points are inside a circle?
The inscribed polygon this is the correct answer trust me thank you love someone
What is the equation for a circle with its center at the origin and a tangent whose equation is y equals 7?
x2 + y2 = 49
What is a segment whose endpoints are points on a circle?
It's called a chord.
What is the equation of a circle whose center is at the origin and whose radius is 16?
(x-0)² + (y-0)² = r²
