Why Does 0.27 Degrees Equal 3π/2000 in Trigonometry?

  • MHB
  • Thread starter buttretler
  • Start date
  • Tags
    Trig
In summary, the conversation discusses a problem where 0.27 degrees is equal to 3pi/2000. The individual is trying to figure out where this value came from and realizes that by multiplying 270 degrees by 1000, they can get 3pi/2. However, they are unsure if the final answer is 3pi/2000 or 3000pi/2000. Through simplification, it is concluded that 0.27 degrees is indeed equal to 3pi/2000.
  • #1
buttretler
8
0
Couldn't figure out why. Where 0.27 deg =3pi/2000. Now the only way I could figure this out is 270 deg = 3pi/2. multiply by 1000 to get the 270 and the 2000, but gives 3000pi/2000? Anyone tell me where this came? Thanks
 
Last edited:
Mathematics news on Phys.org
  • #2
Ineedhelppp said:
So this is a small part that's given in a problem which I don't know where came from. Where 0.27 deg =3pi/2000. Now the only way I could figure this out is 270 deg = 3pi/2. multiply by 1000 to get the 270 and the 2000, but is it still 3pi/2000 and not 3000pi/2000? Anyone tell me where this came? Thanks

Welcome to MHB, Ineedhelppp! :)

I'm not entirely sure where you are stuck.You have:
$$270^\circ = \frac{3\pi}{2}$$
Multiply both sides by 1/1000:
$$270^\circ \cdot \frac{1}{1000} = \frac{3\pi}{2} \cdot \frac{1}{1000}$$
Apply the rules how to multiply fractions:
$$0.27^\circ = \frac{3\pi \cdot 1}{2 \cdot 1000}$$
Simplify:
$$0.27^\circ = \frac{3\pi}{2000}$$
 
  • #3
Thank you so much. Once you go days studying, you start to lose focus on simple things. Thanks again.
 

FAQ: Why Does 0.27 Degrees Equal 3π/2000 in Trigonometry?

What is the given trigonometric problem?

The given trigonometric problem is 0.27 degrees equals 3pi/2000.

How do you convert degrees to radians?

To convert degrees to radians, you can use the formula: radians = (degrees * pi) / 180. In this case, it would be (0.27 * pi) / 180 = 0.0047 radians.

What is the value of pi?

The value of pi is a mathematical constant approximately equal to 3.14159. It is the ratio of a circle's circumference to its diameter.

What is the relationship between degrees and radians?

Degrees and radians are two different units for measuring angles. One degree is equal to 0.01745 radians, and one radian is equal to 57.2958 degrees. They can be converted using the formula: radians = (degrees * pi) / 180.

How can I solve this trigonometric problem?

To solve this problem, we can use the conversion formula to convert 0.27 degrees to radians. Then, we can set the equation equal to 3pi/2000 and solve for pi. The solution would be pi = (0.27 * 2000) / 3 = 0.18 radians.

Similar threads

Replies
1
Views
1K
Replies
5
Views
2K
Replies
6
Views
2K
Replies
1
Views
1K
Replies
9
Views
3K
Replies
10
Views
925
Replies
1
Views
3K
Back
Top