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Q.

What is the perimeter of a quadrant of a circle?


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a

2R+πR2

b

2R+πR3

c

2R+2R2

d

R+πR2 

answer is A.

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Detailed Solution

We have to determine the perimeter of a quadrant of a circle.
Perimeter of circle is 2πR.
Quadrant is one fourth the circle.
Question ImageQuadrant of circle has two parts one is curved and second is radius.
The perimeter of curved part is  2πR4=πr2  .
Therefore, total perimeter is =2R+πR2.
Thus, perimeter of quadrant is 2R+πR2.
Hence, option 1 is correct answer.
 
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