![]() ![]() This diagram shows a circle with centre at O and radius being the same to all points on the circumference.Īccording to classical geometry, the radius of a circle is defined as the equal distance drawn from the centre to the circumference of the circle. This formula is used when calculated using a perpendicular that is drawn from the centre.įor use in Trigonometry, the Length of the chord = 2 × r × sin(c/2), where r is the radius, d is the diameter, and c will be the centre angle subtended by the chord. There are two different formulas for calculating the length of the chord of a circle. The chord of a circle refers to the line segment that joins any two points on the circle. ![]() The radius of a circle refers to any line segment that connects the centre of the circle to any point on the circle. If a chord passes through the centre of the circle, it is known as the diameter. Here, the Circumference of circle = π (Diameter)ĭefinition of the Radius of a Circle and the ChordĪ chord is the line segment that joins two different points of a circle that can also pass through the centre of the circle. ![]() We can also express the area and circumference of a circle with respect to the diameter. The diameter is the longest chord of the circle. The Diameter of a Circle is the length of the line that starts from one point on a circle to another point and passes through the centre of the circle, and it is equal to twice the radius of the circle. It is not only a dimension of a circle but also the dimension for a sphere, a semi-sphere, a cone with a circular base and a cylinder having circular bases.Ī Circle can be defined as the locus of a point moving in a plane, in such a manner that its distance from a fixed point is always constant, and this fixed point is known as the centre of the circle and the distance between any point on the circle and its centre is the radius of a circle. The area and circumference of a circle are also measured in terms of radius.Ī Radius can be defined as a measure of distance from the centre of any circular object to its outermost edge or boundary. The radius of a circle is the distance from the centre of the circle to any point on its circumference. It is an important part of the mathematics concept to study. Working with circles has always been very interesting. The distance that remains fixed while moving about a point is called the radius of a circle. The path you follow while moving around forms the circumference of the circle. The point which you are taking as your references is called the centre of the circle. Step 4: From the center, mark the radius vertically and horizontally and then sketch the circle through these points.When you move around with respect to a specific point, then it forms a circle, only if you move in the fixed path.In this case, the center is ( − 3, 4 ) and the radius r = 12 = 2 3. Step 3: Determine the center and radius from the equation in standard form.For the terms involving x use ( 6 2 ) 2 = 3 2 = 9 and for the terms involving y use ( − 8 2 ) 2 = ( − 4 ) 2 = 16. The idea is to add the value that completes the square, ( b 2 ) 2, to both sides for both groupings, and then factor. Step 2: Complete the square for each grouping. In this case, subtract 13 on both sides and group the terms involving x and the terms involving y as follows. Step 1: Group the terms with the same variables and move the constant to the right side. Begin by rewriting the equation in standard form. ![]()
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