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Find the radius of the circle in which ...

Find the radius of the circle in which a central angle of `60^@`intercepts an arc of length 37.4 cm (use `pi=(22)/7`).

Text Solution

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`60^@ = 60/180* pi = pi/3 rad`
circumference = `2 pi r`subtends `2 pi rd`
l`= (pi/3)/(2 pi) * 2 pi r = (pi r)/3`
`37.4 = 22/7*r/3`
`r = 7/22*3*37.4`
`=35.7 cm`
answer
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