Question

write any five properties of Circle
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Answer 1

1) Circles having equal radii are congruent.

2)Circles having different radii are similar.

3(The central angle which intercepts an arc is the double of any inscribed angle that intercepts the same arc (proof).

4) The radius perpendicular to a chord bisects the chord.

5) The chords equidistant from the center are equal in length.

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Answer 2

Answer:

Circle Properties

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

The circles are said to be congruent if they have equal radii

The diameter of a circle is the longest chord of a circle

Equal chords and equal circles have the equal circumference

The radius drawn perpendicular to the chord bisects the chord

Circles having different radius are similar

A circle can circumscribe a rectangle, trapezium, triangle, square, kite

A circle can be inscribed inside a square, triangle and kite

The chords that are equidistant from the centre are equal in length

The distance from the centre of the circle to the longest chord (diameter) is zero

The perpendicular distance from the centre of the circle decreases when the length of the chord increases

If the tangents are drawn at the end of the diameter, they are parallel to each other

An isosceles triangle is formed when the radii joining the ends of a chord to the centre of a circle

Step-by-step explanation:

A circle is a collection of points where all the points are equidistant from the given point 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”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”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 in a circle is called a 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