Convert right angle to radian
Learn how to convert
1
right angle to
radian
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(right \text{ } angle\right)={\color{rgb(20,165,174)} x}\left(radian\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(radian\right)\)
\(\text{Left side: 1.0 } \left(right \text{ } angle\right) = {\color{rgb(89,182,91)} \dfrac{π}{2.0}\left(radian\right)} = {\color{rgb(89,182,91)} \dfrac{π}{2.0}\left(rad\right)}\)
\(\text{Right side: 1.0 } \left(radian\right) = {\color{rgb(125,164,120)} 1.0\left(radian\right)} = {\color{rgb(125,164,120)} 1.0\left(rad\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(right \text{ } angle\right)={\color{rgb(20,165,174)} x}\left(radian\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{π}{2.0}} \times {\color{rgb(89,182,91)} \left(radian\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(radian\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{π}{2.0}} \cdot {\color{rgb(89,182,91)} \left(rad\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(rad\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{π}{2.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(rad\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(rad\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{π}{2.0} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(\dfrac{π}{2.0} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{π}{2.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.5707963268\approx1.5708\)
\(\text{Conversion Equation}\)
\(1.0\left(right \text{ } angle\right)\approx{\color{rgb(20,165,174)} 1.5708}\left(radian\right)\)