Radius of Inscribed Circle Calculator

An inscribed circle is the largest possible circle that can be drawn on the inside of a plane figure such as triangle or any other polygon. In an inscribed circle, radius always meets a tangent at right angle. Here is the online mathematical Radius of Inscribed Circle Calculator to find the quadrilateral incircle radius using the given values of diagonals and perimeter. A quadrilateral with a circumscribing circle is also known as tangential quadrilateral.

Quadrilateral Incircle Radius

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An inscribed circle is the largest possible circle that can be drawn on the inside of a plane figure such as triangle or any other polygon. In an inscribed circle, radius always meets a tangent at right angle. Here is the online mathematical Radius of Inscribed Circle Calculator to find the quadrilateral incircle radius using the given values of diagonals and perimeter. A quadrilateral with a circumscribing circle is also known as tangential quadrilateral.

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Formula:

R = √((d12d22) - (a - b)2(a + b - p)2) / (2p) Where, r = Radius of Inscribed Circle d1,d2 = Diagonals a,b = Sides of Quadrilateral p = Perimeter

Example

The lengths of the sides of the quadrilateral are 9cm and 6cm. If the two diagonals measures about 15 cm and 12 cm with a perimeter of 12 cm, then
Radius of Inscribed circle = √((152 x 122) - (9 - 6)2(9 + 6 - 12)2) / (2 x 12)
= √(32400) - 81 / (24)
= 7.4906 cm


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