Choose the correct answer:In this figure AOB is a quarter circle of radius 10 and PQRO is a rectangle of perimeter 26. The perimeter of the shaded region is

# Choose the correct answer:In this figure AOB is a quarter circle of radius 10 and PQRO is a rectangle of perimeter 26. The perimeter of the shaded region is

1. A
13+5π1
2. B
17+5π
3. C
7+10π
4. D
7+5π

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### Solution:

We know that length of arc

Perimeter
We know that length of both diagonals of the rectangle is the same, therefore, OQ = RP
Therefore,
Perimeter of rectangle:

Now, opposite sides of a rectangle are the same
So,
Now,

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