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A circle is a 2-dimensional closed shape that has a curved side whose ends meet to form a round shape. The word ‘Circle’ is derived from the Latin word 'circulus' which means a small ring. Let us learn more about the circle definition, the circle formulas, and the various parts of a circle with a few circle practice problems on this page.
- Secant
Using the secant of a circle formula (intersecting secants...
- Secant
- Parts of A Circle
- Circumference of A Circle Formula
- Area of A Circle Formula
- Equation of A Circle
The figure below shows the key parts of a circle that we need to know to be able to work with circles and their formulas.
The circumference of a circle is C = 2πr. Circumference is a measure of the distance around the circle. Imagine cutting the circle and straightening it out; the length of the straightened line is the circumference. There are a few circumference of a circle formulas.
The area of a circle formula is A = πr2. The area of a circle is the plane region bounded by the circle's circumference. The figure below depicts the area of a circle in red bounded by the circumference in grey. There are a few area formulas.
In coordinate geometry, a circle can be expressed using different equations and based on various constraints.
The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T. All circles are similar. [12] A circle circumference and radius are ...
The Radius of a Circle: 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
- Only one circle can be drawn passing through two given points.
- Two equal parts, each part is called a semicircular region.
- The different parts of a circle are radius, diameter, chord, secant, tangent, minor arc, major arc, minor segment, major segment, minor sector, and...
- c = 2$\pi$r, where c is the circumference and r is the radius.
- Concentric circles are circles having the same center.
The circle is a two-dimensional figure, which has its area and perimeter. The perimeter of the circle is also called the circumference, which is the distance around the circle. The area of the circle is the region bounded by it in a 2D plane. Let us discuss here circle definition, formulas, important terms with examples in detail. Table of ...
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.
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Aug 24, 2023 · A circle’s area is how much space it takes up. Above, we talked about how the diameter can be measured in millimeters or miles. This, and the number for pi, is all you need to know to find the circle’s area. Use this formula to find a circle’s area: A = π x r2. In this formula, A = area, which is what we’re trying to find.
