Respuesta :
Answer:
The value [tex]\frac{13}{18}\pi[/tex] is degree is 130°.
Step-by-step explanation:
The given angle in radian is
[tex]\frac{13}{18}\pi[/tex]
Multiply the given angle by [tex]\frac{180}{\pi}[/tex], to convert it into degree.
[tex]\frac{13}{18}\pi\times \frac{180}{\pi}[/tex]
Cancel out the common factors.
[tex]13\times 10[/tex]
[tex]130^{\circ}[/tex]
Therefore the value [tex]\frac{13}{18}\pi[/tex] is degree is 130°.
To solve the problem we must know about the value of 1 radian.
What is the value of 1 radian?
The value of π radians is equal to 180°. therefore, the value of 1 radian can be given as,
[tex]\pi = 180^o\\\\1\ radian = \dfrac{180^o}{\pi}[/tex]
The value of [tex]\dfrac{13\pi}{18}[/tex] radians is equal to 130°.
Given to us
- [tex]\dfrac{13\pi}{18}\ radians[/tex]
We know that π radians are equal to 180°.
therefore,
[tex]1\ radian = \dfrac{180^o}{\pi}[/tex]
Radians to degree
Further,
[tex]\dfrac{13\pi}{18}\ radians = \dfrac{13\pi}{18} \times \dfrac{180^o}{\pi}[/tex]
[tex]\dfrac{13\pi}{18}\ radians =130^o[/tex]
Hence, the value of [tex]\dfrac{13\pi}{18}[/tex] radians is equal to 130°.
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