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