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Question
Find the central angle of the sectors whose measures are given below. `(π = 22/7)`
length of the arc = 44 m, r = 35 m
Solution
l = 44cm r = 35cm
`"l" = (theta^circ)/(360^circ) xx 2pi"r"`
`44 = (theta^circ)/(360^circ) xx 2 xx22/7 xx 35`
`theta^circ = (44 xx 360^circ xx 7)/(2 xx 22 xx 35)`
`theta^circ = 360^circ/5`
`theta^circ = 72^circ`
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| Central angle of each sector (θ°) |
Find the central angle of the sectors whose measures are given below. `(π = 22/7)`
area = 462 cm2, r = 21 cm
