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

Mathematics

1 answer:

dolphi86 [110]2 years ago

7 0

Answer:

3/2 units^2

Step-by-step 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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