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In geometry, a circle is a closed curve formed by a set of points on a plane that are the same distance from its center O. That distance is known as the radius of the circle. Diameter. The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. All the diameters of the same circle ...
When the segment (side) of a figure passes through the center of dilation, the segment (side) of the pre-image and its image will be on the same line. In the diagram at the right, with center of dilation at (0,-2) and scale factor of 2, we notice that passes through the center of dilation, (0,-2), which means that and will be on the same line, .
A circle is usually named for its center. The circle in Figure \(\PageIndex{2}\) is called circle \(O\). A chord is a line segment joining two points on a circle. In Figure \(\PageIndex{2}\), \(DE\) is a chord. A diameter is a chord which passes through the center. \(BC is a diameter.
A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle. Radius = $\frac{Diameter}{2}$ Diameter of a Circle: A line segment passing through the center of a circle, and having its endpoints on the circle, is called the diameter of the circle. Diameter = 2 × radius. Circumference:
A line that "just touches" the circle as it passes by is called a Tangent. A line that cuts the circle at two points is called a Secant. A line segment that goes from one point to another on the circle's circumference is called a Chord. If it passes through the center it is called a Diameter. And a part of the circumference is called an Arc.
Aug 3, 2023 · 2) Diameter – The line segment whose endpoints lie on the circle and that passes through the center. Its length is twice the length of a radius. It is represented by as -‘d’ or ‘D’. So, r = d/2 or R = D/2. 3) Chord – The line segment whose endpoints lie on the circle, thus dividing a circle into two regions. The diameter is the ...
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A radius is a line segment that has one endpoint on the center of the circle and the other endpoint on the circle's circumference. A circle has infinitely many radii (plural for radius), and each radius has an equal measure. The diameter of a circle is a chord that passes through the circle's center.