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Circumradius of Rectangle given angle adjacent and opposite to diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Length/2*sin(Angle D)
rc = L/2*sin(∠D)
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Angle D - The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Angle D: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = L/2*sin(∠D) --> 3/2*sin(1.5707963267946)
Evaluating ... ...
rc = 1.5
STEP 3: Convert Result to Output's Unit
1.5 Meter --> No Conversion Required
FINAL ANSWER
1.5 Meter <-- Circumradius
(Calculation completed in 00.015 seconds)

7 Circumradius of Rectangle Calculators

Circumradius of Rectangle given breadth and perimeter
circumradius = sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4 Go
Circumradius of Rectangle given length and perimeter
circumradius = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4 Go
Circumradius of Rectangle given side
circumradius = sqrt((Length)^2+(Breadth)^2)/2 Go
Circumradius of Rectangle given angle adjacent and opposite to diagonal
circumradius = Length/2*sin(Angle D) Go
Circumradius of Rectangle given angle adjacent to diagonal and adjacent side
circumradius = Breadth/2*cos(Theta) Go
Circumradius of Rectangle given diameter of circumscribed circle
circumradius = Diameter/2 Go
Circumradius of Rectangle given diagonal
circumradius = Diagonal/2 Go

Circumradius of Rectangle given angle adjacent and opposite to diagonal Formula

circumradius = Length/2*sin(Angle D)
rc = L/2*sin(∠D)

What is radius of circumscribed circle and how it is calculated?

In geometry, the circumscribed circle or circumcircle of a rectangle is a circle that passes through all the vertices of the rectangle. The center of this circle is called the circumcenter and its radius is called the circumradius. To calculate it, use the formula R = a / 2sin α where R is the radius of the circumscribed circle, a is the length and α is the angle adjacent to the diagonal and the opposite side of the angle.

How to Calculate Circumradius of Rectangle given angle adjacent and opposite to diagonal?

Circumradius of Rectangle given angle adjacent and opposite to diagonal calculator uses circumradius = Length/2*sin(Angle D) to calculate the Circumradius, Circumradius of Rectangle given angle adjacent and opposite to diagonal is the radius which passes only four vertexes of the angle and has a center at the intersection of the diagonals of the rectangle. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Rectangle given angle adjacent and opposite to diagonal using this online calculator? To use this online calculator for Circumradius of Rectangle given angle adjacent and opposite to diagonal, enter Length (L) & Angle D (∠D) and hit the calculate button. Here is how the Circumradius of Rectangle given angle adjacent and opposite to diagonal calculation can be explained with given input values -> 1.5 = 3/2*sin(1.5707963267946).

FAQ

What is Circumradius of Rectangle given angle adjacent and opposite to diagonal?
Circumradius of Rectangle given angle adjacent and opposite to diagonal is the radius which passes only four vertexes of the angle and has a center at the intersection of the diagonals of the rectangle and is represented as rc = L/2*sin(∠D) or circumradius = Length/2*sin(Angle D). Length is the measurement or extent of something from end to end & The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Circumradius of Rectangle given angle adjacent and opposite to diagonal?
Circumradius of Rectangle given angle adjacent and opposite to diagonal is the radius which passes only four vertexes of the angle and has a center at the intersection of the diagonals of the rectangle is calculated using circumradius = Length/2*sin(Angle D). To calculate Circumradius of Rectangle given angle adjacent and opposite to diagonal, you need Length (L) & Angle D (∠D). With our tool, you need to enter the respective value for Length & Angle D 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 Circumradius?
In this formula, Circumradius uses Length & Angle D. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • circumradius = sqrt((Length)^2+(Breadth)^2)/2
  • circumradius = sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4
  • circumradius = Diagonal/2
  • circumradius = Diameter/2
  • circumradius = Breadth/2*cos(Theta)
  • circumradius = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4
  • circumradius = Length/2*sin(Angle D)
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