Find the Chord AB. Two Methods.

Given a central angle of 310 degrees and the radius of a circle, we find the the chord AB using two different methods, both involving trigonometry.

[MrMichelX]

You can also use the law of the sines as well.

[cherkicherki]

Madame merci beaucoup .Nice exercice . I used the theorem of sinus too. The same answer .

[marioalb]

That is an isosceles triangle, whose angles are 50°, 65° and 65°

The chord AB is:
c = 2 x (12 cos 65°)
c = 10, 14 cm. ( Solved √ )

[janolsen]

Corden AB = 2*radius*sin(v/2) = 2*12*sin(50/2) = 10.1428 unit

[richardbailey]

Using this method of 2 × 12 × sin ( 50 ÷ 2) = 10 142