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what is the angle subtended at the centre of a circle of circumference 12 pie cm by an arc of length 3 piecm |
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Answer» ANSWER Given that:- Length of arc (l)=15cm Radius of circle (r)=25cm Angle SUBTENDED at the centre (θ)=? As we know that, l=rθ ⇒θ= r l
= 25 15
= 5 3
=0.6 radians As we know that, 1 radian= π 180
° ∴0.6 radian= π 180
×0.6= 22 180×7
×0.6=34.36°=34°36 ′
Hence the radian and DEGREE measure of the angle subtended at the centre of circle is 0.6 radians and 34°36 ′ |
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