10. Find the length of arc PQ.
The angle of the middle of PQ is 120* and it has a side length of 14m
Answers:
20 m
29.3 m
14.9 m
14 m
29.3 m
To find the length of an arc, you use the formula:
Length of Arc = (angle/360) * 2πr
Given that the angle is 120 degrees and the radius is 14m, we plug in the values:
Length of Arc = (120/360) * 2π(14)
Length of Arc = (1/3) * 2π(14)
Length of Arc = (1/3) * 28π
Length of Arc = 28π/3
Using the approximation π ≈ 3.14, we have:
Length of Arc ≈ 28(3.14)/3
Length of Arc ≈ 87.92/3
Length of Arc ≈ 29.3 m
Therefore, the length of arc PQ is approximately 29.3 m.