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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
Secant of a circle is the line that cuts across the circle...
- Secant
Yes, a circle is a two-dimensional figure. A circle is a simple closed curve, marking the set of all points at a constant distance from a fixed (center) point A, in the same plane. The distance from the center point to the circle is called the radius (r). The distance from one side of the circle to the other through the center point is called ...
The twice of radius of the circle is called the diameter (D = 2R). A circle has no straight edges or corners. Similarly, the semicircle is half of the circle and also a quarter circle is formed by splitting the circle into four equal parts. Circle Formula. Since a circle is a two-dimensional figure, it has an area and a perimeter.
- A circle is a set of points that lies on a plane and all the points are at equidistant from a fixed point, called the center of circle.
- A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed...
- Radius is the distance from the center of the circle to its curved edge.
- The perimeter of a circle is called circumference, which is the total distance covered by the boundary of circle. It is equal to 2πr, where r is th...
- Circle: Definition
- Circle: Example
- Circle: Properties
- Circle: Formulas
- Circumference of A Circle
- Area of A Circle
- Circles: Types
- Solved Examples
- Summary
- FAQs
A circle is the collection of all points in a plane at the same or equal distance from a fixed point. The fixed point is the centre of the circle and it is denoted by O; the constant distance rfrom the centre to any point on the boundary corresponds to the radius of the circle.
Objects which are round are called circular objects. There are many such circular objects that we see in our daily lives like a disc, basketball ring, tyres of a bicycle, bangles, base of the cylinder, the base of the cone, etc.
Radius
A line segment joining the centre to any point on the boundary of the circle is called the radius of the circle.
Diameter
A diameter of a circle is twice the length of a radius in a circle. It is a line segment that bisects the circle, so it is called a line of symmetry. It is the largest chord of a circle that passes through the circle’s centre. There is a circle with O as a centre and OP as a radius. In the figure, you can see the line segment AOB that passes through the centre of the circle O and has its endpoints at the circumference. AOBis the diameter of the circle. DiameteroftheCircle=2×Radius
Tangent
A line that touches the circle at one point is called a tangent to the circle. The intersecting point at which the tangent touches the circle is called its point of contact. In the given figure, SPT is the tangent to the circle at point P.
There are three important formulae that are related to the circles. 1. Diameter of a circle 2. Circumference of a circle 3. Area of a circle
Circumference of a circle or perimeter of a circle is the measurement of the length of the boundary of the circle.
The area of a circle is defined by the space or region occupied by a circle in a two-dimensional plane. If r be the radius of a circle, then the area of a circle is given by πr2.
There are three different types of circles which are tangent circles, concentric circles, and congruent circles.
Question 1:The radii of the two circles are 4cm,6cmrespectively. Find the length of their diameter. Answer:The radius is half of the diameter. It starts from a point on the boundary of the circle and ends at the centre of the circle. Thus, the diameter is double of a radius. Therefore, if the radius is 4 cm then the diameter is 2×4cm=8cm and if the...
In this article, we have learned about the circle, its parts, formulas related to the circle, different parts or components of a circle. We have also studied the types of circles, their circumference, and their area. Practice other circle concepts with the given examples and Mock test questions in the article. With the help of this article, one can...
Below are the frequently asked questions on Circles: Question-1: What are circles and their types? Answer: Circles are round objects whose distance from a fixed point is the same. There are three types of circles concentric, tangent, and congruent. Question-2: What are the two circles having the same centre and different radius called? Answer: Circ...
C = 2πR. A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter.
Nobody wants to say "that line that starts at one side of the circle, goes through the center and ends on the other side" when they can just say "Diameter". So here are the most common special names: Lines. 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.
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Circles are a common shape. You see them all over: wheels on a car, Frisbees passing through the air, compact discs delivering data. These are all circles. A circle is a two-dimensional figure just like polygons and quadrilaterals. However, circles are measured differently than these other shapes.
