Asked by Lakur
An arc of circle subtends an angle of 140¤ at the center.if the radius of the circle is 10cm, find the length of the chord to the nearest centimeter
Answers
Answered by
Bosnian
The length of the chord:
C = 2 r sin ( θ / 2 )
In this case:
r = 10 cm
θ = 140°
C = 2 r sin ( 140° / 2 )
C = 2 • 10 • sin ( 70° )
C = 20 • 0.9396926207
C = 18.793852415
C = 19 cm to the nearest centimeter
C = 2 r sin ( θ / 2 )
In this case:
r = 10 cm
θ = 140°
C = 2 r sin ( 140° / 2 )
C = 2 • 10 • sin ( 70° )
C = 20 • 0.9396926207
C = 18.793852415
C = 19 cm to the nearest centimeter
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