How to find the arc length with this problem
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How to find the arc length with this problem

[From: ] [author: ] [Date: 12-05-23] [Hit: ]
I know the answer, (15π)/(2)ft, but I want to learn how to get to that answer because I keep doing the problem and getting the answer incorrect. Could someone show me the steps please? Any help is greatly appreciated.s = 10*3π/4 = 30π/4 = 15π/2 ft ≈ 23.......
I know the formula is s=θr, or arc length= central angle in radians times the length of the radius.
Radius=10ft.
Central Angle=135°

I know the answer, (15π)/(2)ft, but I want to learn how to get to that answer because I keep doing the problem and getting the answer incorrect. Could someone show me the steps please? Any help is greatly appreciated. :)

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135° = 135*π/180 = 3π/4 radians
R = 10

s = 10*3π/4 = 30π/4 = 15π/2 ft ≈ 23.56 ft

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2π radians = 360° so the angle in radians is 135/360 x 2π = 270π/360 = 3π/4.

Arc length = 3π/4 x 10 = 30π/4 = 15π/2 feet

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Convert your angle to radians. 135 degrees * (pi radians / 180 degrees) = (27/36)*pi radians

Now, simply apply your formula.
s = (27/36)*pi * 10 ft = (15/2)*pi ft = 23.6 ft

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Convert from degrees to radians. This is a 3rd grade calculation !!!!!!
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