What is the equivalent of π\4 radians in degrees?

Mathematics

2 answers:

Murljashka [212]3 years ago

8 0

Π/4×180°/π = 45° thats the answer

ratelena [41]3 years ago

4 0

$\pi radians$ = 180 degrees
$\pi /2 radians$ = 90 degrees
$\pi /4 radians$ = 45 degrees

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Step-by-step explanation:

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$\begin{aligned} \frac{p}{q} \quad \genfrac{}{}{0}{}{(\text{numerator})}{(\text{denominator})}\end{aligned}$ .

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$\begin{aligned} & \frac{p}{q} < 1 \\ \iff & (q)\, \left(\frac{p}{q}\right) < (q)\, (1) && (\text{given that $q > 0$}) \\ \iff & p < q\end{aligned}$ .

For example, in the fraction $(2/3)$ , $2$ is the numerator while $3$ is the denominator. Both the numerator and the denominator are positive, while the numerator $2\!$ is smaller than the denominator $3\!$ . Therefore, $(2/3)$ would be less than $1$ .