Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that r=5 is the radius of the circle, and s=4 is the arc length from the point (5,0) around the circle to the indicated point.

Question

anonymous · Answer

attachment

tylerd · Answer

arclength = 5theta = 4

theta = 4/5

anonymous · Answer

@The-Joker

tylerd · Answer

so to solve for length a

cos(4/5) = a/5

a = 5cos(4/5)

anonymous · Answer

so a is 5cos(4/5) and b is 5sin(4/5) then. How do I get P?

tylerd · Answer

ok so to start i guess we can start finding some things

tylerd · Answer

the base of that triangle that has P as the hypotenuse is 5-a

tylerd · Answer

and we know b

tylerd · Answer

so (5-a)^2 + b^2 = P^2

tylerd · Answer

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