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Nilabh has to cut out circles of diameter 5/4 cm from an aluminium strip of dimensions 35/4 cm by 5/4cm . how many circles will nilabh cut? Also find the wastage of the aluminium strip. |
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Answer» ilabh had to cut out circle of 5/4 cm am aluminum STRIP dimensions 35/4 cm by 5/4 cm how many full will nilabh cul ?also find the wastage of the aluminum stripAssume diameter of the required circle = 5/4 cmAluminium strip dimension = 35/4 X 5/4 cmSo NUMBER of circles which can be cut = 35/4 / 5/4 = 7So maximum number of circles will be 7Now area of RECTANGLE = 35/4 x 5/4 SQ cm = 175/16 sq cmWe know that Area of one circle = π r^2 = π (d/2)^2 = π d^2 / 4 = π/4 (5/4)^2 = 25 π/64 So area of 7 circles will be 7 x 25 π/64 = 25 x 11 / 32 = 275 /32 sq cm = 8.593Now coming to wastage Wastage = 175/16 - 275/32 = 75/32 = 2.34 sq cmMark me as BRAINLIEST |
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