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25 July, 03:08

The diameter of a circle is 8 centimeters. What is the angle measure of an arc bounding a sector with area 2 square centimeters?

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  1. 25 July, 03:27
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    With a diameter of 8, the radius is 4, and the total area of the circle is πr² = 16π. The area 2 is a fraction of that 16π.

    The angle that we're looking for is that same fraction of 360° (a full circle).

    So angle = 360 * 2/16π = 45/π ≈ 14.32
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