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- There is a unique triangle with vertices 𝐴, 𝐵, and 𝐶. The perpendicular bisectors of the sides 𝐴 𝐵, 𝐵 𝐶, and 𝐴 𝐶 meet at a single point 𝑃, called the circumcenter of the triangle. The circumcenter of the triangle is the center of the circumcircle, which is the unique circle passing through the vertices 𝐴, 𝐵, and 𝐶.
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- Circle and its Parts. The different parts of a circle are listed below: Circumference. Radius. Diameter. Chord. Tangent. Secant. Arc. Segment. Sector. Let us discuss each of the parts in detail.
- Circumference of a Circle. The circumference of a circle is its boundary. In other words, when we measure the boundary or the distance around the circle, that measure is called the circumference and it is expressed in units of length like centimeters, meters, or kilometers.
- Radius of a Circle. The radius of a circle is the length of the line segment joining the center of the circle to any point on the circumference of the circle.
- Diameter of a Circle. The diameter of a circle is a line segment that passes through the center of the circle and with endpoints that lie on the circumference of a circle.
Parts of a Circle. A chord is a line segment whose endpoints are on a circle. A diameter is a chord that passes through the center of a circle. Another one of the parts of a circle is a radius, which is a line segment with one endpoint at the center and one endpoint on the circle.
A circle is the simplest sort of curve, and a triangle is the simplest polygon -- the one with the fewest sides. Each has properties that makes it useful in many fields of endeavor. A triangle is the most stable of polygons, because once its sides are fixed in length, its angles cannot change.
Based on the shape and position, there are different parts of a circle in geometry that can be listed as center, radius, circumference, diameter, chord, arc, segment, tangent, secant, and sector. It will be easy to identify and label parts of a circle using the diagram shown below.
- Radius: The constant distance from its centre is called the radius of the circle. In the figure, OA is radius.
- Chord: A line segment joining two points on a circle is called a chord of the circle. In the figure, AB is a chord of the circle. If a chord passes through centre then it is longest chord.
- Diameter: A chord passing through the centre of a circle is called the diameter of the circle. A circle has an infinite number of diameters. CD is the diameter of the circle as shown in the figure.
- Arc: A continuous piece of a circle is called an arc. Let A,B,C,D,E,F be the points on the circle. The circle is divided into different pieces. Then, the pieces AB, BC, CD, DE, EF etc.
𝐵 (9, 3), 𝐶 (4, 8), 𝐷 (8, 2), 𝐸 (8, 8), and 𝐹 (3, 7) are five points on a circle. Which of the chords 𝐶 𝐷, 𝐵 𝐶, and 𝐷 𝐹 is a diameter? Answer.
A circle is the simplest sort of curve, and a triangle is the simplest polygon — the one with the fewest sides. Each has properties that makes it useful in many fields of endeavor. A triangle is the most stable of polygons, because once its sides are fixed in length, its angles cannot change.
