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Radius of the circumcircle of a triangle using semiperimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = ((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C)))
r = ((a)*(b)*(c))/4*(sqrt(S*(S-a)*(S-b)*(S-c)))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side C - Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Semiperimeter - Semiperimeter of an isosceles triangle is half of the sum of length of all sides. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion Required
Semiperimeter: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((a)*(b)*(c))/4*(sqrt(S*(S-a)*(S-b)*(S-c))) --> ((8)*(7)*(4))/4*(sqrt(10*(10-8)*(10-7)*(10-4)))
Evaluating ... ...
r = 1062.52529381658
STEP 3: Convert Result to Output's Unit
1062.52529381658 Meter -->106252.529381658 Centimeter (Check conversion here)
FINAL ANSWER
106252.529381658 Centimeter <-- Radius
(Calculation completed in 00.016 seconds)

10+ Radius of circumcircle Calculators

Radius of the circumscribed circle of an isosceles trapezoid if given sides and diagonal
radius = (Side A*Base A*Diagonal)/sqrt((Side A+Diagonal+Base A)*(Diagonal A+Base A-Side A)*(Side A+Diagonal-Base A)*(Side A+Base A-Diagonal A)) Go
Radius of the circumscribed circle of an isosceles trapezoid if given longer sides and diagonal
radius = (Side A*Diagonal*Base B)/sqrt((Side A+Diagonal+Base B)*(Diagonal+Base B-Side A)*(Side A+Diagonal-Base B)*(Side A+Base B-Diagonal)) Go
Radius of the circumscribed circle of a regular polygon
radius = (Side A)/(2*(sin((180*pi/180)/Number of sides))) Go
Radius of the circumscribed circle of a right triangle when two sides are given
radius = 0.5*sqrt((Side A^2)+(Side B^2)) Go
Radius of the circumscribed circle of a rectangle given two sides
radius = (sqrt((Side A^2)+(Side B^2)))/2 Go
Radius of the circumscribed circle of a square given side
radius = Side/sqrt(2) Go
Radius of the circumscribed circle of a right triangle when given hypotenuse
radius = 0.5*Hypotenuse Go
Radius of the circumscribed circle of a rectangle given diagonal
radius = Diagonal/2 Go
Radius of the circumcircle of a regular hexagon given diagonal
radius = Diagonal/2 Go
Radius of the circumscribed circle of a square given
radius = Diagonal/2 Go

Radius of the circumcircle of a triangle using semiperimeter Formula

radius = ((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C)))
r = ((a)*(b)*(c))/4*(sqrt(S*(S-a)*(S-b)*(S-c)))

What is a circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center. The different parts of a circle are radius, diameter, chord, tangent, arc, center, secant, sector. The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

How to Calculate Radius of the circumcircle of a triangle using semiperimeter?

Radius of the circumcircle of a triangle using semiperimeter calculator uses radius = ((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C))) to calculate the Radius, The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle when the value of a side is given. Radius and is denoted by r symbol.

How to calculate Radius of the circumcircle of a triangle using semiperimeter using this online calculator? To use this online calculator for Radius of the circumcircle of a triangle using semiperimeter, enter Side A (a), Side B (b), Side C (c) and Semiperimeter (S) and hit the calculate button. Here is how the Radius of the circumcircle of a triangle using semiperimeter calculation can be explained with given input values -> 106252.5 = ((8)*(7)*(4))/4*(sqrt(10*(10-8)*(10-7)*(10-4))).

FAQ

What is Radius of the circumcircle of a triangle using semiperimeter?
The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle when the value of a side is given and is represented as r = ((a)*(b)*(c))/4*(sqrt(S*(S-a)*(S-b)*(S-c))) or radius = ((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C))). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Semiperimeter of an isosceles triangle is half of the sum of length of all sides.
How to calculate Radius of the circumcircle of a triangle using semiperimeter?
The Radius of the circumcircle of a triangle formula is defined as the radius of the circle circumscribing the triangle when the value of a side is given is calculated using radius = ((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C))). To calculate Radius of the circumcircle of a triangle using semiperimeter, you need Side A (a), Side B (b), Side C (c) and Semiperimeter (S). With our tool, you need to enter the respective value for Side A, Side B, Side C and Semiperimeter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radius?
In this formula, Radius uses Side A, Side B, Side C and Semiperimeter. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • radius = (Side A)/(2*(sin((180*pi/180)/Number of sides)))
  • radius = (Side A*Diagonal*Base B)/sqrt((Side A+Diagonal+Base B)*(Diagonal+Base B-Side A)*(Side A+Diagonal-Base B)*(Side A+Base B-Diagonal))
  • radius = (Side A*Base A*Diagonal)/sqrt((Side A+Diagonal+Base A)*(Diagonal A+Base A-Side A)*(Side A+Diagonal-Base A)*(Side A+Base A-Diagonal A))
  • radius = Side/sqrt(2)
  • radius = Diagonal/2
  • radius = 0.5*sqrt((Side A^2)+(Side B^2))
  • radius = 0.5*Hypotenuse
  • radius = (sqrt((Side A^2)+(Side B^2)))/2
  • radius = Diagonal/2
  • radius = Diagonal/2
Where is the Radius of the circumcircle of a triangle using semiperimeter calculator used?
Among many, Radius of the circumcircle of a triangle using semiperimeter calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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