- #1
In summary: Rest well!In summary, to find the angle alpha in a cone, you can use trigonometry and the height of the cone, which is defined as 1/3 of the circumference of the base. The formula for finding alpha is given as h=(2*pi*r)/3. If you need to find the hypotenuse, you can use the Pythagorean theorem.
- #2
armolinasf
- 196
- 0
you do have r, r=r. you have a right triangle with base opposite side equal to r and an adjacent side = 2pi*r/3. apply some trigonometry and you should be able to find alpha
- #3
armolinasf
- 196
- 0
I'm curious about how you're able to get an exact answer to this problem even though it's given in general terms. I hope someone could shed some light on this.
- #4
chawki
- 506
- 0
armolinasf said:
where did that ''adjacent side = 2pi*r/3'' came from
- #5
armolinasf
- 196
- 0
If you make a a right triangle with right angle at the base and angle alpha as the vertex. The side adjacent to angle alpha is the height of the cone which is defined as h=(2*pi*r)/3
- #6
chawki
- 506
- 0
i have to say this is new for me..can you please demostrate how to got it?
also if there is a pre-defined formula for the hypotenuese i would be glad to know it
- #7
chawki
- 506
- 0
chawki said:
OH my lord..i just asked to demostrate that and forgot that it was given
i should go to sleep - #8
armolinasf
- 196
- 0
Haha...we've all been there at some point, it'll probably do a world of good to get some sleep
Related to Calculating Angle in a Cone
1. What is the formula for calculating the angle in a cone?
The formula for calculating the angle in a cone is arctan(radius/height), where arctan is the inverse tangent function and represents the angle in radians.
2. How do I measure the radius and height of a cone?
You can measure the radius of a cone by finding the distance from the center of the circular base to the edge. The height of a cone can be measured by finding the distance from the tip of the cone to the base, along the center line.
3. Can the angle in a cone be greater than 90 degrees?
No, the angle in a cone cannot be greater than 90 degrees. This is because the angle is measured from the center of the circular base to the edge, and the edge of a cone cannot exceed the length of its radius.
4. What units are used to measure the angle in a cone?
The angle in a cone is typically measured in degrees or radians. Degrees are more commonly used in everyday measurements, while radians are used in mathematical calculations.
5. Can the angle in a cone be negative?
No, the angle in a cone cannot be negative. This is because the angle is always measured in a counter-clockwise direction from the positive x-axis, and a negative angle would indicate a clockwise rotation.
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