Hello students, in this blog we are going to discuss about the inscribed polygon and circumscribed polygon of circle. First of all we define about the inscribed polygon that is define as polygon (also see What is a Regular Polygon) that is inscribed in a circle if all the vertices of polygon are points on the circle and circle included all the sides of polygon then it is known as inscribed circle .We can define some Properties of inscribed polygons of circles that are as follows:
Property no (1) : All regular polygons inscribed in the circle .
Property no (2) : Both inscribed polygon and circumscribed circle have the center .
Property no (3) : If we talk about the radius of inscribed circle it is also same as the radius of circumscribed circle .
When we talk about the circumscribed circle of a polygon it is define as a circle that passes through all the vertices of the polygon .We can define some Properties of circumscribed polygons of circles as follows:
Property no (1) : Center of the circle is known as circumcenter .
Property no (2) : The radius of the circle is known as circumradius .
Property no (3) : When a polygon has circumscribed circle mean that polygon is a cyclic polygon also defined as co-cyclic polygon .
When there is triangle that is also a polygon have the sides a, b and c then for inscribed circle radius r will be define as r = Ö (p – a) ( p – b) ( p – c) / p .
here p = (a + b + c) / 2 .
And also for circumscribed circle radius R is defined as
R = a * b * c / 4 Ö p ( p- a) ( p – b) ( p -c ) .
In upcoming posts we will discuss about Understand Pythagorean triples and Learn Parabolic Functions and Axis of Symmetry. Visit our website for information on syllabus of West Bengal board of higher secondary education
Property no (1) : All regular polygons inscribed in the circle .
Property no (2) : Both inscribed polygon and circumscribed circle have the center .
Property no (3) : If we talk about the radius of inscribed circle it is also same as the radius of circumscribed circle .
When we talk about the circumscribed circle of a polygon it is define as a circle that passes through all the vertices of the polygon .We can define some Properties of circumscribed polygons of circles as follows:
Property no (1) : Center of the circle is known as circumcenter .
Property no (2) : The radius of the circle is known as circumradius .
Property no (3) : When a polygon has circumscribed circle mean that polygon is a cyclic polygon also defined as co-cyclic polygon .
When there is triangle that is also a polygon have the sides a, b and c then for inscribed circle radius r will be define as r = Ö (p – a) ( p – b) ( p – c) / p .
here p = (a + b + c) / 2 .
And also for circumscribed circle radius R is defined as
R = a * b * c / 4 Ö p ( p- a) ( p – b) ( p -c ) .
In upcoming posts we will discuss about Understand Pythagorean triples and Learn Parabolic Functions and Axis of Symmetry. Visit our website for information on syllabus of West Bengal board of higher secondary education
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