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In a circle of diameter 42cm,if an arc subtends an angle of 60˚ at the centre where π = 22/7, then what will be the length of arc. |
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Answer» Step-by-step explanation: Given:-In a circle of diameter 42cm,if an arc subtends an angle of 60˚ at the centre where π = 22/7. To find:-what will be the LENGTH of arc. Solution:-Diameter of a circle (d)=42 CM =>RADIUS of the circle (r)=Diameter/2 =>r=42/2=21 cm An angle subtends by the arc =(x)=60° Length of the arc (l)=x°×2πr/360° units =>60°×2×(22/7)×21/360° =>(60°×2×22×21)/(7×360°) =>2×22×3/6 =>22 Length=22 cm Answer:-Length of the arc for the given PROBLEM is 22 cm Used formula:-If the radius of the circle is" r "units and the angle subtended by the arc in the circle is x° then the length of the arc is (x°×2πr)/360 π=22/7 |
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