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What are the Properties of Circles? There are many properties of circles. A few basic properties of circles are given below: A circle is a 2d shape in which all the points in the plane are equidistant from a point which is called the center of the circle. Two circles with equal radii are congruent in nature.
- Secant
Secant of a circle is the line that cuts across the circle...
- Secant
Lines and circles are the important elementary figures in geometry. We know that a line is a locus of a point moving in a constant direction, whereas the circle is a locus of a point moving at a constant distance from some fixed point. The theoretical importance of the circle is reflected in the number of amazing applications.
- Description
- If the given circles have equal radii then the circles are congruent.
- Every circle is similar to each other irrespective of its radii.
- Following are the properties of the tangent to the circle: 1) Radius of the circle is perpendicular to point of contact between the tangent and th...
- A circle is a geometrical figure formed by the locus of points which are equidistant to a common point called the centre of the circle, and the con...
The perpendicular bisector of a chord passes through the center of the circle ; Any three non-colinear points lie on a unique circle. Tangent-chord theorem; Two secants theorem; The line connecting intersection points of two circles is perpendicular to the line connecting their centers.
Area of a circle = Area of triangle = (1/2) × b × h = (1/2) × 2π r × r. Therefore, Area of a circle = πr 2. Properties of Circles. The important basic properties of circles are as follows: The outer line of a circle is at equidistant from the centre. The diameter of the circle divides it into two equal parts.
- Definition
- Parts and Properties
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A closed, round geometric figure in which the set of all the points in the plane isequidistant from a given point called ‘center’.
1) Radius – Theline that joins the center of the circle to theouter boundary. It is usually represented by ‘r’ or ‘R’. The plural of radius is called radii. 2) Diameter – The line segment whose endpoints lie on thecircle and that passes through the center. Its length is twice the length of aradius. It is represented by as -‘d’ or ‘D’. So, r = d/2 o...
Circumference
Also known as the perimeter, it is the total distance covered around the circle. The formula is given below: Circumference (C) = 2πr, here r = radius, and π= 3.141 = 22/7
Area
It is the total space enclosed inside the boundary of the circle. It is also known as the ‘surface area of the circle’. The formula is given below: Area (A) = πr2, here r = radius, and π= 3.141 = 22/7 1. More Resources 1.1. Area of a Circle 1.2. Circumference of a Circle 1.3. Equation of a Circle 1.4. Diameter of a Circle 1.5. Radius of a Circle 1.6. Concentric Circles 1.7. Semi circle 1.8. Chord of a Circle 1.9. Tangent of a Circle 1.10. Arc of a Circle 1.11. Secant of a Circle 1.12. Sector...
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. Circumference: The circumference of a circle is the distance around a circle. It is the same as the perimeter of other shapes. Chords of Circles:
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2 days ago · A circle is a round plane figure with a boundary (called the circumference) that is equidistant from its center. It is a fundamental object studied in geometry. In order to describe the shape of an object, we give the object appropriate dimensions. For example, a rectangle can be described with its height and width. It is harder to describe the shape of a triangle, since we would require all ...
