The length of arc XPY in the given circle with a radius 30m is in terms of pi is 45π.
It is given that
The radius r of the circle = 30m
Central angle α intended by arc XPY = 360-90 = 270°
α in radians = 270*π/180
α in radians = 3π/2
What is the formula for arc length?
Arc length is the product of the central angle α and radius r of the given circle.
So, length of arc XPY:
l= r*α(in radians)
l =30* 3π/2
l = 45π
Therefore, the length of arc XPY in terms of pi is 45π.
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