Determine the angle at the centre of a circle with radius 6.0 cm for an arc length of 8.0 cm.
1 answer:
Answer:
Third option.
Step-by-step explanation:
You need to remember that the formula used to calculate the arc lenght is:
Where "r" is the radius and "C" is the central angle in radians.
You need to solve for "C":
You know the radius and the arc lenght, therefore, you can substitute values to calculate the central angle in radians. Therefore, this is:
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Answer: 99% decrease
Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.
The amount of change is the difference between 6,000 and 60 and the original number is 6,000.
6,000 - 60 is 5,940 so we are left with and dividing 6,000 into 5,940 gives us 0<em>.</em>99.
Finally, since the problem is asking us for the <em>percent</em>, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.
So when a number changes from 6,000 to 60, it has decreased by 99%.