If you are good at trig please help mee and show all working out thank you in advance ;)

The section of railway tack shown is a circular arc that has a chord length of 500m and subtends an angle of 40 degrees at the centre of the circle. Find the radius ( r ) of the circular arc and the length ( s ) of that arc.
oh and the exercise is about the cosine rule

r = 777.8469     s = 543.0396 m

Step-by-step explanation:

First, use sin 40 set equal to 500/r to find the radius

sin 40 degrees = 500/r        Take the sin of 40 degrees

0.6428 = 500/r                     Divide both sides by 0.6428

r = 777.8469

Now find the arc length by using the following equation s = rФ or arc length = radius times theta, the given angle.

s = rФ       Substitute 777.8469 for the radius and 40 degrees in radians for theta

s = 777.8469()        Multiply

s = 543.0396 m

If these answers are correct, please make me Brainliest!

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