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Answer :

Answer:

≈ 3.91π in.

Step-by-step explanation:

IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.

What is Arc length?

Arc length is defined as the distance between two points along a section of a curve.

IT is given that

∠APC = 92 and PB = 8 in

As ∠APC and ∠APD are formed in linear pairs.

So,  

∠APC + ∠APD = 180∘

∠APD = 180 -  ∠APC

∠APD = 180∘ − 92∘

∠APD = 88∘      

Now, the length of the arc will be,

= Ф/360 2πr

= 88/360 x 2 x π x 8

=88/360 x 16π

=352/90  x π

≈ 3.91π in.

Hence, the arc length of AD is ≈ 3.91π in.

Learn more about Arc length here:

brainly.com/question/16403495

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