Question

how are circles used in chemistry and computer

Answer 1

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Properties of Circle:-

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. Here we will discuss the properties of a circle, area andcircumference of a circle in detail.

Circle Definition:-

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is called a circle. Here, the fixed point is called the centre “O”. Some of the important terminologies used in the circle are as follows:

 

Terms DescriptionCircumferenceThe boundary of the circle is known as the circumferenceRadiusThe line from the centre “O” of the circle to the circumference of the circle is called the radius and it is denoted by “R” or “r”DiameterThe line that passes through the centre of the circle and touches the two points on the circumference is called the diameter and

it is denoted by the symbol “D” or “d”ArcArc is the part of the circumference where the largest arc is called the major arc and the smaller one is called the minor arcSectorSector is slice of a circle bounded by two radii and the included arc of a circleChordThe straight line that joins any two points on the circumference of a circle is called the chordTangentA line that touches the circumference of a circle at a point is called the tangentSecantA line that cuts the circle at the two distinct points is known as the secant

Circle Properties:-

Some of the important properties of the circle are as follows:

The circles are said to be congruent if they have equal radiiThe diameter of a circle is the longest chord of a circleEqual chords of a circle subtend equal angles at the centreThe radius drawn perpendicular to the chord bisects the chordCircles having different radius are similarA circle can circumscribe a rectangle, trapezium, triangle, square, kiteA circle can be inscribed inside a square, triangle and kiteThe chords that are equidistant from the centre are equal in lengthThe distance from the centre of the circle to the longest chord (diameter) is zeroThe perpendicular distance from the centre of the circle decreases when the length of the chord increasesIf the tangents are drawn at the end of the diameter, they are parallel to each otherAn isosceles triangle is formed when the radii joining the ends of a chord to the centre of a circleCircle Formulas

Area of a circle, A = πr2 square units

The circumference of a circle = 2πr units

The circumference of a circle formula can also be written as πd.

Where,

Diameter = 2 x Radius

d = 2r

Here “r” represents the radius of a circle.

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