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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 a round figure whose surface is at all points equidistant from the center?
circle or sphere
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 set of points whose coordinates satisfy the equation is called?
The set of points whose coordinates satisfy a given equation is called the graph of the equation. For example, in the case of a linear equation, the graph is a line, while for a quadratic equation, it is a parabola. This collection of points visually represents the relationship described by the equation in a coordinate system.
What points lies on the circle whose center is at the origin and whose radius is 10?
The points that lie on a circle centered at the origin (0, 0) with a radius of 10 satisfy the equation (x^2 + y^2 = 10^2) or (x^2 + y^2 = 100). This means any point ((x, y)) that meets this equation, such as (10, 0), (0, 10), (-10, 0), and (0, -10), as well as any other points that fall on the circle's perimeter, will lie on the circle. In general, points can be expressed in parametric form as ((10 \cos \theta, 10 \sin \theta)) for any angle (\theta).
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 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 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 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
