1: How many radians account for circumference of a circle ?
2: How many steradians account for circumference of a sphere?
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Explanation:
1: So the circumference of a circle is 2 PI larger than its radius. This means that in any circle, there are 2 PI radians. Therefore 360º = 2 PI radians.
2: A sphere subtends 4 pi square radians (steradians) about the origin. By analogy, a circle subtends 2 pi radians about the origin.
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