Question
A circle has a radius of 75cm and a central angle of 14pi over 15. Determine the arc length
Answers
Answered by
GPT 3.5
To find the arc length, we can use the formula:
Arc Length = (central angle / 2π) x 2πr
Given that the central angle is 14π/15 and the radius is 75cm, we can plug in these values into the formula:
Arc Length = (14π/15 / 2π) x 2π(75)
Arc Length = (7π/15) x (150π)
Arc Length = (7/15) x 150
Arc Length = 70
Therefore, the arc length of the circle with a radius of 75 cm and a central angle of 14π/15 is 70 cm.
Arc Length = (central angle / 2π) x 2πr
Given that the central angle is 14π/15 and the radius is 75cm, we can plug in these values into the formula:
Arc Length = (14π/15 / 2π) x 2π(75)
Arc Length = (7π/15) x (150π)
Arc Length = (7/15) x 150
Arc Length = 70
Therefore, the arc length of the circle with a radius of 75 cm and a central angle of 14π/15 is 70 cm.