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A circular wire is cut from a circle of radius 7.5 cm and wounded over a circumference of circular wheel of radius 120 cm.Find the angle made at centre of wheel by the wire.Answer is π/8write the step by step deviation |
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Answer» Step-by-step explanation: Here, Circumference of the circle = 2πr =2π ×7.5 cm = 15π cm Now, circumference of the wheel= 2πr = 2π×120cm = 240π cm The circumference of the wheel is at 360° as it is the complete circle whereas the new wire radius has changed and its circumference will not totally cover the wheel, So here, LET x be the TOTAL angle of the SMALLER C. 240πcm = 360° 15π cm = x° By cross multiplication we get 240πcm× x = 360×15πcm x = 5400/240 = 22.5° And your ans= π/8 = 180/8= 22.5 |
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