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SUBHENDU MAITY

· started a discussion

· 1 Months ago

question-85128 (Question: 85128.0 )

pls explain the question with meaning and diagram

Question:
If a wire of 20 cm long is bent in to an arc of a circle subtending an angle of 90o at the center, then the radius of the circle (in cm.) is:
Options:
A) \(\cfrac{30}{π}\) cm
B) \(\cfrac{40}{π}\) cm
C) \(\cfrac{50}{\pi}\) cm
D) None of these
Solution:
Ans: (b) Circumference of arc


Knowledge Expert

· commented

· 1 Months ago

Dear Student, The formula the arc measure is: arc length = 2πR (C/360) where: C is the central angle of the arc in degrees R is the radius of the arc Put arc lenght on LHS = 20 , C =90 , now calculate R. Thanks and Regards Team TR
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