Circle O has a radius of 8 m and the measure of central angle AOB is 45 degrees.
Which of the following could be used to calculate the length of arc AB?
The arc AB is 1/8 of the circumference. That would be pi*R/4
2pi
To calculate the length of arc AB, you can use the formula:
Length of arc = (angle / 360) * 2 * π * radius
In this case, the radius of circle O is given as 8 m and the measure of angle AOB is given as 45 degrees. So, substituting these values into the formula, we get:
Length of arc AB = (45 / 360) * 2 * π * 8
Simplifying further:
Length of arc AB = (1/8) * 2 * π * 8
Length of arc AB = π * 8
Length of arc AB = 8π
Therefore, the length of arc AB is 8π meters.
To calculate the length of arc AB in circle O, we can use the formula:
Arc Length = (Central Angle / 360 degrees) * 2 * π * Radius
Given that the radius of circle O is 8 m and the central angle AOB is 45 degrees, we can substitute these values into the formula:
Arc Length = (45 degrees / 360 degrees) * 2 * π * 8 m
Simplifying this expression, we get:
Arc Length = (1/8) * 2 * π * 8 m
Arc Length = π m
Therefore, the length of arc AB is π m (approximately 3.14 m).
So, the correct answer would be "π times the radius".