QUESTION IMAGE
Question
n measure
there are exactly π radians in a semicircle.
there are exactly radians in a full circle.
there are approxi radians in a full circle.
2π radians is equi degrees.
Step1: Recall circle - radian relationship
A full - circle angle is related to radians. Since a semi - circle has $\pi$ radians, a full circle has $2\pi$ radians.
Step2: Approximate value of $2\pi$
We know that $\pi\approx3.14$, so $2\pi\approx2\times3.14 = 6.28$. Also, we know the conversion formula from radians to degrees: $1$ radian $=\frac{180^{\circ}}{\pi}$, so $2\pi$ radians $= 360^{\circ}$.
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There are exactly $2\pi$ radians in a full circle.
There are approximately $6.28$ radians in a full circle.
$2\pi$ radians is equal to $360$ degrees.