Circumradius of Isosceles Triangle given Legs and Height Calculator

✖The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.ⓘ Legs of Isosceles Triangle [S_Legs]			+10% -10%
✖The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.ⓘ Height of Isosceles Triangle [h]			+10% -10%

✖The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.ⓘ Circumradius of Isosceles Triangle given Legs and Height [r_c]

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Formula

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Circumradius of Isosceles Triangle given Legs and Height

Formula

`"r"_{"c"} = "S"_{"Legs"}^2/(2*"h")`

Example

`"5.0625m"=("9m")^2/(2*"8m")`

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Download Isosceles Triangle Formula PDF

Circumradius of Isosceles Triangle given Legs and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle)
r_c = S_Legs^2/(2*h)
This formula uses 3 Variables

Variables Used

Circumradius of Isosceles Triangle - (Measured in Meter) - The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.
Legs of Isosceles Triangle - (Measured in Meter) - The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.
Height of Isosceles Triangle - (Measured in Meter) - The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

STEP 1: Convert Input(s) to Base Unit

Legs of Isosceles Triangle: 9 Meter --> 9 Meter No Conversion Required
Height of Isosceles Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = S_Legs^2/(2*h) --> 9^2/(2*8)

Evaluating ... ...

r_c = 5.0625

STEP 3: Convert Result to Output's Unit

5.0625 Meter --> No Conversion Required

FINAL ANSWER

5.0625 Meter <-- Circumradius of Isosceles Triangle

(Calculation completed in 00.004 seconds)

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< 6 Radius of Isosceles Triangle Calculators

Inradius of Isosceles Triangle given Legs and Height

Go Inradius of Isosceles Triangle = (Height of Isosceles Triangle*sqrt(Legs of Isosceles Triangle^2-Height of Isosceles Triangle^2))/(Legs of Isosceles Triangle+sqrt(Legs of Isosceles Triangle^2-Height of Isosceles Triangle^2))

Inradius of Isosceles Triangle

Go Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))

Inradius of Isosceles Triangle given Legs and Base Angle

Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)

Circumradius of Isosceles Triangle

Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)

Inradius of Isosceles Triangle given Base and Base Angle

Go Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*tan(Base Angles of Isosceles Triangle/2)

Circumradius of Isosceles Triangle given Legs and Height

Go Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle)

Circumradius of Isosceles Triangle given Legs and Height Formula

Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle)
r_c = S_Legs^2/(2*h)

What is an Isosceles Triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

What is circumscribed circle and how its radius is calculated when circumscribed in an isosceles triangle ?

In geometry, the circumscribed circle or circumcircle of an isosceles triangle is a circle that passes through all the vertices of the isosceles triangle. The center of this circle is called the circumcenter and its radius is called circumradius. Its formula is R = a/ 2sinA where R is the radius of the circumscribed circle, a is the side of the isosceles triangle, and sinA is the angle of the isosceles triangle.

How to Calculate Circumradius of Isosceles Triangle given Legs and Height?

Circumradius of Isosceles Triangle given Legs and Height calculator uses Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle) to calculate the Circumradius of Isosceles Triangle, Circumradius of Isosceles Triangle given Legs and Height formula is defined as the length of the radius of the circle that passes through all the vertices of the Isosceles triangle, calculated using its legs and height. Circumradius of Isosceles Triangle is denoted by r_c symbol.

How to calculate Circumradius of Isosceles Triangle given Legs and Height using this online calculator? To use this online calculator for Circumradius of Isosceles Triangle given Legs and Height, enter Legs of Isosceles Triangle (S_Legs) & Height of Isosceles Triangle (h) and hit the calculate button. Here is how the Circumradius of Isosceles Triangle given Legs and Height calculation can be explained with given input values -> 5.0625 = 9^2/(2*8).

FAQ

What is Circumradius of Isosceles Triangle given Legs and Height?

Circumradius of Isosceles Triangle given Legs and Height formula is defined as the length of the radius of the circle that passes through all the vertices of the Isosceles triangle, calculated using its legs and height and is represented as r_c = S_Legs^2/(2*h) or Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle). The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle & The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

How to calculate Circumradius of Isosceles Triangle given Legs and Height?

Circumradius of Isosceles Triangle given Legs and Height formula is defined as the length of the radius of the circle that passes through all the vertices of the Isosceles triangle, calculated using its legs and height is calculated using Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle). To calculate Circumradius of Isosceles Triangle given Legs and Height, you need Legs of Isosceles Triangle (S_Legs) & Height of Isosceles Triangle (h). With our tool, you need to enter the respective value for Legs of Isosceles Triangle & Height of Isosceles Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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