We hope that many of you have understood the proper definition of the circle. It is an enclosed figure with the round curve in which the set of many points are equidistant from a fixed point. That fixed point is called the center, which is also considered as a parts of circle. There are several parts of the circle like radii, diameter, circumference, and many others. To know major parts of the circle, we recommend you to refer to your textbooks.
It is not only about simple circle questions that you solve in geometry classes. You have different other types from which you can derive the circle parts. One among them is an Equation of a Circle. the circle’s equation is essential to help you locate this shape on the Cartesian plane. Also, if you want to express the circle in the algebraic form, this equation is formulated. In this guide, let us discuss more about different circle parts and how you can use this shape’s equation to derive them. Keep reading and enlighten your mind.
What is meant by the equation of a circle?
To represent the circle’s position in the Cartesian plane, this equation is helpful. However, to implement this equation into actual problems, you have to figure out the coordinates of the circle and the length of the radius. Once you have those values, it is easy to formulate the circle’s equation. the circle’s equation presents all the lying points on the circumference of the circle.
With the constant value of a fixed point, the circle shows the locus of points’ distance from that locus’ points’ distance. The circle has a radius ‘R’ and twice the radius will be called the diameter. the standard form of the circle’s equation is (x- x1)2+ (y- y1)2 = R2. To find out the radius you have to calculate the square root of this equation. √(x- x1)+ (y- y1)=√R
If you have any values of the R, you can calculate different parts of a circle like the circumference, diameter, chord’s length and many more. If you are unaware of those circle’s part terminology, below we have explained them briefly.
Radius of a circle
From the center of a circle point to the circumference of a circle, if you draw a line segment, it will be called the radius of a circle. In the above section of this post we have highlighted how you can calculate the radius using the equation.
Circumference
The arch of a circle collects the entire length of the circle; we can say it as a circumference of a circle. The formula is 2*pi*R where R stands for the radius. If you want to calculate the circumference using the circle’s equation, we recommend you to solve the circle’s equation first and then substitute values here.
Chord of a circle
Any random line segment whose two ending points are touching the circumference of a circle is said to be the chord of a circle. The longest chord in a circle is diameter with 2*R. 2√(R2-d2) is the formula of calculating the chord’s length. In this formula, R equals the radius and the ‘d’ denotes the perpendicular bisector. You must substitute all values carefully and implement all calculation process.
