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1: How many radians account for circumference of a circle ?2: How many steradians account for circumference of a sphere? |
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Answer» 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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