Question
Asked Oct 10, 2019
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57. The figure shows a circular arc of length s and a chord of length d, both subtended by
a
central angle 0. Find
lim
0-0+ d
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57. The figure shows a circular arc of length s and a chord of length d, both subtended by a central angle 0. Find lim 0-0+ d

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Step 1
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S lim

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Step 2

Let r be the radius of the circle then

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Arc length s passes through the center of the circle and bisects the chord. er and we can simply observe that by drawing the line which 11 d r sin 2 d 2r sin

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Step 3

So,

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Өr lim 602r sin .. lim 8 0+ d lim e ot sin = 1 DN

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Tagged in

Math

Calculus

Limits