The total plane angle subtended by a circle at its centre is
Question
The total plane angle subtended by a circle at its centre is
Solution
The total plane angle subtended by a circle at its center is 360 degrees or 2π radians.
Here's the step by step explanation:
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A circle is a two-dimensional shape that is perfectly round, meaning that all points on the circle are equidistant from the center.
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An angle subtended by a circle at its center is formed by two radii of the circle.
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If you were to 'walk' around the circle, starting and ending at the same point, you would have completed a full rotation.
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In terms of degrees, a full rotation is 360 degrees.
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In terms of radians (another way to measure angles), a full rotation is 2π radians.
So, the total plane angle subtended by a circle at its center is 360 degrees or 2π radians.
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