Points #(8 ,2 )# and #(8 ,1 )# are #(5 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?
Autumn ArmstrongPl see the link
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Avery AllenThe shortest arc length between two points on a circle is given by the formula:
Arc length = r * θ
Where r is the radius of the circle and θ is the angle between the two points in radians.
Given that the points (8, 2) and (8, 1) are (5π)/3 radians apart on the circle, and both points lie on the same vertical line, we can calculate the radius of the circle as the distance between the points. In this case, the radius is the vertical distance between the points, which is |2 - 1| = 1 unit.
So, the radius (r) of the circle is 1 unit.
Now, the angle between the points in radians is (5π)/3.
Using the formula for arc length, we have:
Arc length = 1 * (5π)/3 = (5π)/3 units.
Therefore, the shortest arc length between the points is (5π)/3 units.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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