A square of side 14 cm has a quarter circle of radius 14 cm drawn inside, with one corner of the square as the centre. Find the perimeter of the SHADED region (the part of the square OUTSIDE the quarter circle). (Take π = 22/7.)
Show Worked Solution
Worked Solution
Step 1: Identify the shaded perimeter parts. The shaded region is bounded by:
(a) two sides of the square (the two NOT touching the quarter-circle corner) = 14 + 14 = 28 cm.
(b) the curved arc of the quarter circle = ¼ × 2 × π × 14 = ¼ × 88 = 22 cm.
Step 2: Perimeter = 28 + 22 = 50 cm.
Answer: 50 cm
Correct answer: 50 cm
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