Question

Find the perimeter of the above figure which is shaded.

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Answer 1

Construction :- Mark 4 points A, B,C,D on the end of each curve and Join ABCD intially ABCD became a square then,

1. each curve became a semicircle and

Perimeter of circle =

$2\pi \: \times r$

and Perimeter of semicircle =

$2\pi \times r \div 2$

and there is total 4 semi circle then,

Perimeter of each curve =

$2\pi \times r \div 2 \times 4$

and Perimeter of square ABCD = lenght× hence,

Perimeter of the figure= Perimeter of each semicircle + Perimeter of square ABCD