Credits

Softusvista Office (Pune), India
Team Softusvista has created this Calculator and 500+ more calculators!
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

Radius of circumscribed circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle)
r = (a*b*c)/(4*A)
This formula uses 4 Variables
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)
Area Of Triangle - The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. (Measured in Square 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
Area Of Triangle: 30 Square Meter --> 30 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (a*b*c)/(4*A) --> (8*7*4)/(4*30)
Evaluating ... ...
r = 1.86666666666667
STEP 3: Convert Result to Output's Unit
1.86666666666667 Meter --> No Conversion Required
FINAL ANSWER
1.86666666666667 Meter <-- Radius Of Circumscribed Circle
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)/Semiperimeter Of Triangle) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) Go
Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

Radius of the circumscribed circle when perimeter and breadth are given
radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4 Go
Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given
radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4 Go
Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle
radius_of_circumscribed_circle = Length/2*sin(sinϑ) Go
The radius of the rectangle circumscribed circle when rectangle sides are given
radius_of_circumscribed_circle = sqrt((Length)^2+(Breadth)^2)/2 Go
Radius of the Circumscribed Circle in terms of Cosine of Angle Adjacent to the Diagonal and Adjacent Side
radius_of_circumscribed_circle = Breadth/2*cos(Theta) Go
Square circumradius when the side of the square is given
radius_of_circumscribed_circle = Side of square/sqrt(2) Go
Square circumradius when the perimeter of the square is given
radius_of_circumscribed_circle = Perimeter/4*sqrt(2) Go
Square circumradius when the area of the square is given
radius_of_circumscribed_circle = Area/sqrt(2) Go
The radius of a circumscribed circle when the diameter of a circumscribed circle is given
radius_of_circumscribed_circle = Diameter of Circumscribed Circle/2 Go
Radius of the circumscribed circle when the diagonal of the rectangle is given
radius_of_circumscribed_circle = Diagonal/2 Go
Square circumradius when the diagonal of the square is given
radius_of_circumscribed_circle = Diagonal/2 Go

Radius of circumscribed circle Formula

radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle)
r = (a*b*c)/(4*A)

How to Calculate Radius of circumscribed circle?

Radius of circumscribed circle calculator uses radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) to calculate the Radius Of Circumscribed Circle, The radius of circumscribed circle represents the length of any line segment from its center to its perimeter, of the circumscribed circle. Radius Of Circumscribed Circle and is denoted by r symbol.

How to calculate Radius of circumscribed circle using this online calculator? To use this online calculator for Radius of circumscribed circle, enter Side A (a), Side B (b), Side C (c) and Area Of Triangle (A) and hit the calculate button. Here is how the Radius of circumscribed circle calculation can be explained with given input values -> 1.866667 = (8*7*4)/(4*30).

FAQ

What is Radius of circumscribed circle?
The radius of circumscribed circle represents the length of any line segment from its center to its perimeter, of the circumscribed circle and is represented as r = (a*b*c)/(4*A) or radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle). 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 The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
How to calculate Radius of circumscribed circle?
The radius of circumscribed circle represents the length of any line segment from its center to its perimeter, of the circumscribed circle is calculated using radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle). To calculate Radius of circumscribed circle, you need Side A (a), Side B (b), Side C (c) and Area Of Triangle (A). With our tool, you need to enter the respective value for Side A, Side B, Side C and Area Of Triangle 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 Of Circumscribed Circle?
In this formula, Radius Of Circumscribed Circle uses Side A, Side B, Side C and Area Of Triangle. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • radius_of_circumscribed_circle = sqrt((Length)^2+(Breadth)^2)/2
  • radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4
  • radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4
  • radius_of_circumscribed_circle = Diagonal/2
  • radius_of_circumscribed_circle = Diameter of Circumscribed Circle/2
  • radius_of_circumscribed_circle = Length/2*sin(sinϑ)
  • radius_of_circumscribed_circle = Breadth/2*cos(Theta)
  • radius_of_circumscribed_circle = Side of square/sqrt(2)
  • radius_of_circumscribed_circle = Perimeter/4*sqrt(2)
  • radius_of_circumscribed_circle = Area/sqrt(2)
  • radius_of_circumscribed_circle = Diagonal/2
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!