What is the perimeter of a quadrant of a circle?

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2 R + \frac{πR}{2}

2 R + \frac{πR}{3}

2 R + \frac{2 R}{2}

R + \frac{πR}{2}

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

2 πR

.
Quadrant is one fourth the circle.
Question Image

Quadrant of circle has two parts one is curved and second is radius.
The perimeter of curved part is

\frac{2 πR}{4} = \frac{πr}{2}

.
Therefore, total perimeter is

= 2 R + \frac{πR}{2}

.
Thus, perimeter of quadrant is

2 R + \frac{πR}{2}

.
Hence, option 1 is correct answer.

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