Find the pattern and use inductive reasoning to predict the next number in the sequence 5,5,10,30,120,…
1 answer:
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Answer:
1/3
Step-by-step explanation:
We know that angle subtended by whole circumference is .
If r is the radius then Length of whole circumference is
radian has
length
dividing both side by we have
1 radian has r length
1 radian = r length equation a
=> since we have to find value of circumference for we
multiply both side of equation a with .
therefore, length of required arc is
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we have to find how much is this as fraction of total circumference of circle
fraction of circumference = value of arc length / total length of circumference
fraction of circumference =
Thus, the given arc is 1/3 of circumference of circle.