What is the area of the sector having a radius of 8 and a central angle of 5pi/3 radians?
1 answer:
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First, find the LCD (least common denominator) of the two fractions.
List the multiples of each denominator and find the one that is common.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
40 is your LCD.
Second, what can you divide by to make the denominators of each fraction '40'? Whatever you do to the bottom you must do to the top.
Third, multiply.
Fourth, since the denominators are the same now, we can combine them.
Fifth, subtract '25 - 16' to get 9.
Since
Answer as fraction:
Answer as decimal: