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Question 21 of 36

Q.The degree measure of π8\dfrac{\pi}{8} is :

(a) 22∘60′22^\circ 60'
(b) 20∘60′20^\circ 60'
(c) 20∘30′20^\circ 30'
(d) 22∘30′22^\circ 30'
Puducherry TnboardTamil Nadu HSC First Year (DGE) Commerce Board 2022MCQ· 1mImportance★★★★★
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Use π=180∘\pi=180^\circ: π8=22.5∘\tfrac{\pi}{8}=22.5^\circ, and the 0.5∘0.5^\circ is 30′30', giving 22∘30′22^\circ 30'.

Since π\pi radians =180∘=180^\circ,

π8=180∘8=22.5∘\frac{\pi}{8} = \frac{180^\circ}{8} = 22.5^\circ

Convert the decimal part to minutes using 1∘=60′1^\circ = 60':

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