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A day full of math games & activities. Find one near you.
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm?
Solution:
Consider θ as the central angle in a circle of radius r. s is the arc length of the cut off by θ. So the radian measure θ is written as
θ = s/r
It is given that
θ = 6 pi over 5
θ = 6π/5
We can write it as
6π/5 = s/2
By further calculation
s = 6π/5 × 2
s = 12π/5 cm
s = 7.54 cm
Therefore, the arc length is 7.54 cm.
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm?
Summary:
The arc length, if θ = 6 pi over 5 and the radius is 2 cm is 7.54 cm.
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