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A circle with the are 16pi has a sector with the central angel of 8/5 radians

1 Answer

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Answer:

3/2 units^2

Explanation:

The area of the entire circle is 16π. What is the area of a sector of this circle if the central angle (not angel) is 8/5 radians?

Formula: (fraction of circle represented by the sector)(area of the circle

Area of the sector described above is

8/5 radians 8*16π square units

----------------------- * 16π square units = ------------------------------ = 3/2 units^2

2π radians 10π

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