Each corner of the floor mat shown above is made up of a quadrant of radius 4 cm. Find the perimeter of the floor mat.
Solution
4 quadrants make 1 full circle
Perimeter of arcs of 4 quadrants above -----
2 x 3.14 x 4 cm = 25.12 square cm
Perimeter of arcs of 4 quadrants above -----
2 x 3.14 x 4 cm = 25.12 square cm
Consider length of mat -----
40 cm – 4 cm – 4 cm = 32 cm
40 cm – 4 cm – 4 cm = 32 cm
Consider breadth of mat -----
30 cm – 4 cm – 4 cm = 22 cm
30 cm – 4 cm – 4 cm = 22 cm
Perimeter of mat -----
(25.12 + 32 cm + 32 cm + 22 cm + 22 cm)
(25.12 + 32 cm + 32 cm + 22 cm + 22 cm)
= 133.12 cm (Answer)
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