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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

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 lengt class=

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22stolc

Answer:

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([tex]\frac{2\pi }{9}[/tex])        Multiply

s = 543.0396 m

If these answers are correct, please make me Brainliest!

Answer:

777.8469?source=aid11544073

Step-by-step explanation:

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