Question

Write any 10 properties of circle. Support your statements with relevant figures. Write the proof for any two properties written​

Answer 1

Step-by-step explanation:

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 and area and circumference of a circle in detail.

Answer 2

Answer:

Some of the important property 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.

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