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The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circumference of the circle. The given end points of the diameter are (−2,4) (- 2, 4) and (4,8) (4, 8). The center point of the circle is the center of the diameter, which is the midpoint between (−2,4) (- 2, 4 ...
Jul 31, 2024 · The equation of a circle is (x-4)² + (y-6)² = 8. You can find this equation by using the following steps: Find the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2. Calculate the distance between (6,4) and (2 ...
Feb 14, 2022 · For example, if you have the endpoints of the diameter of a circle, you may want to find the center of the circle which is the midpoint of the diameter. To find the midpoint of a line segment, we find the average of the \(x\)-coordinates and the average of the \(y\)-coordinates of the endpoints.
The term "endpoints" refers to the two points at the extremes of this line segment. In the circle above, C is the center and AB is a diameter. A (x 1, y 1) and B (x2, y 2) are the two end points of the diameter AB. Note : (i) The distance between the two endpoints of diameter is the length of the diameter. (ii) One-half of the length of the ...
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A closed, round geometric figure in which the set of all the points in the plane isequidistant from a given point called ‘center’.
1) Radius – Theline that joins the center of the circle to theouter boundary. It is usually represented by ‘r’ or ‘R’. The plural of radius is called radii. 2) Diameter – The line segment whose endpoints lie on thecircle and that passes through the center. Its length is twice the length of aradius. It is represented by as -‘d’ or ‘D’. So, r = d/2 o...
Circumference
Also known as the perimeter, it is the total distance covered around the circle. The formula is given below: Circumference (C) = 2πr, here r = radius, and π= 3.141 = 22/7
Area
It is the total space enclosed inside the boundary of the circle. It is also known as the ‘surface area of the circle’. The formula is given below: Area (A) = πr2, here r = radius, and π= 3.141 = 22/7 1. More Resources 1.1. Area of a Circle 1.2. Circumference of a Circle 1.3. Equation of a Circle 1.4. Diameter of a Circle 1.5. Radius of a Circle 1.6. Concentric Circles 1.7. Semi circle 1.8. Chord of a Circle 1.9. Tangent of a Circle 1.10. Arc of a Circle 1.11. Secant of a Circle 1.12. Sector...
Find the equation of a circle through the ends $$\left( {5,7} \right)$$ and $$\left( {1,3} \right)$$ of its diameter. Also find the centre and radius. The equation of the circle through the ends points of its diameter is
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Oct 6, 2021 · The Circle in Standard Form. A circle 8 is the set of points in a plane that lie a fixed distance, called the radius 9, from any point, called the center.The diameter 10 is the length of a line segment passing through the center whose endpoints are on the circle.
