An ant is moving around a few food pieces of different shapes scattered on the floor For which food-piece would the ant have to take a longer round?
Remember, circumference of a circle can be obtained by using the expression
c=2mrwhere is the radius of the circle
(a)
15 cm
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answer is 45
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(a) Diameter of semicircle = 2.8 cm
∴ Perimeter = πr + 2r
= 22/7 × 2.8 + 2 × 2.8
= 8.8 + 5.6 cm
= 14.4 cm
(b) Total perimeter = 1.5 + 1.5 + 2.8 + semi circumference (πr, where r = 2.8/2 = 1.4 cm)
= 1.5 + 1.5 + 2.8 + (22/7 x 1.4)
= 5.8 + 8.8
= 14.6 cm
(c) Total perimeter = 2 + 2 + Semi circumference (πr, where r = 2.8/2 = 1.4 cm)
= 4 + 8.8
= 12.8 cm
Hence, it is clearly seen that distance of (b) i.e. 14.6 is the longest.
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