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

Answer 1

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