Questions on Geometry: Geometric formulas answered by real tutors!

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Question 2173: Dear sir/mam,
Actually,I am finding Area of segment in a Ball mill(Circle). But I am getting segment area very higher(100 m2) for a 8.5 m3 mill volume. I used the formula for segment area which is having inverse of cosine. Could u please tell me the correct formula for finding segment area.
Thankyou,
Premanand.S
Click here to see answer by longjonsilver(2297)

Question 2176: Dear Mr.Jon,
Thanks for your reply,
I am sorry for the confusion in my previous queation.Actually, I am a Chemical Engineer and I am doing research in Ball Mill. Actually Ball mill is a Cylindrical mill used for grinding powders in Powder processing industries like cement, ceramic and paint.In this cylindrical mill, balls are added for grinding powders. So I have to calculate Volume of mill occupied by balls.
But the company people will give only ball bed height of the mill i.e. they are having a standard ROD and they will insert the rod into the mill and measure the ball bed height inside the mill. So with this given data I have to find out the Volume of mill occupied by balls.
Here I assumed the part of mill occuying the balls as Segment area of Circle. So I wish to calculate the Area of this segment. So by multiplying this area with Length, I will easily get my desired result. i.e. Volume of mill occupied by balls. I HAVE TRIED WITH AREA OF SEGMENT FORMULA WHICH IS (AREA OF SECTOR - AREA OF TRIANGLE) AND IT CONTAINS AN INVERSE OF COSINE TERM. BUT I AM GETTING HIGHER VALUE(WHICH IS LARGER THAN MILL AREA).SO PLEASE HELP IN THE FORMULAE AVAILABLE FOR DETERMINING SEGMENT AREA OF CIRCLE. I NEED DIFFERENT FORMULAE OF THIS. PLEASE REPLY
Thankyou,
Premanand

Click here to see answer by longjonsilver(2297)

Question 2177: Dear sir,
It is not a hollow cylinder .It is a verticallly positioned rotating cylinder(i.e. cylinder in sleeping position ,or in other words, the cylinder height is parallel to the earth suface).It is filled with balls (of different dimensions) to a particular height inside the mill. Company people will not give the amount of balls in the mill.they will provide only the height upto which the balls are present inside the mill.they will not give other data except this.
So my data are follows,
Mill dia = 2.21m
Mill Length = 3.21m
Height upto which the balls are present inside the mill = 1.14m
SO the free space inside the mill is (2.21(dia) - 1.14) = 1.07 m
SO I have considered this part as a segment area. Hope now you can understand the concept.
Please reply the various formulae for Segment Area soon
Thankyou,
Prem

Click here to see answer by longjonsilver(2297)

Question 2310: find the value of x and each unknown angle measure.
(x+5) (x+5) and 3x
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Question 2653: I have a square each side is h and then there is two semi cirlcles 1 on each end of the square the radius is r what is the formula for this area?
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Question 2699: find the area, in cm2 of a triangle whose base is 18cm and whose height is 25cm?
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Question 2654: What is the area of a rectangle with a semi circle on the end
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Question 2876: Find the area of a parallelogram with side lengths of 8 and 14 feet and an interior angle measure of 40 degrees.
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Question 3080: What is the formula to calculate the length of the diagnal side of a right angle triangle if the other 2 dimensions are known?
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Question 3164: What is the formula for the area of a trapezoid?
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Question 3171: What is the formula for the area of a trapezoid?
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Question 3170: The area of a triangle is 36 square meters. The height is two more than four times the base. Find the height and base.
GOT THIS FAR:
Let x = the base
Let 4x + 2 = the height
Let 36^ = area
x^2 + (4x+2)^2 = 36^2
Please help me. I am losing my mind.
Click here to see answer by longjonsilver(2297)

Question 3447: The number 3 (five) (written in base five) is equivalent to what symbol in base two.
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Question 3611: can you give me the formula to work out the hypotenuse when I only know 1 length & the three angles of the triangle
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Question 3675: what is the area of a triangle with a base = and a height =
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Question 3926: Tue. 6/21/05
Frequently in the course of my job as an electrical estimator, I must determine the height of existing parking lot light poles from the ground. Given the fact that I cannot physically measure a standing pole from the ground (it could be 35 - 40' tall), shouldn't I be able to accurately determine the height of a light pole from the ground, using trigonometry? For example, can I measure off 20' along the ground and assume a Right Triangle with the pole being the adjacent side to solve the equation?
I am decidedly math handicapped and am looking for an easy and repeatable way to measure light poles from the ground. I am anxiously looking forward to your reply.
Best Regards,
Keith
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Question 3579: using the following pairs A(9,2) B(5,4) how do you find AB
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Question 4161: A circle has a circumference of 20(pi)meters. Sorry There is no key stroke for pi. Find the radius of the circle. Thanks.
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Question 4265: The height of a cylinder is four times its radius. Find a function that models the volume V of the cylinder in terms of its radius r. I know that V=pir^2h, but I don't understand how to write a function when the height of a cylinder is four times its radius. Thanks
Click here to see answer by rapaljer(4671)

Question 4533: I have the formula for area for a circle, but no matter how many times I have tried I cannot get the correct answer. The answer is in the back of my book to check it, but I'm just not seeing how they are coming up with it. Please show me how to get the answer by example. Here is the problem: The diameter of the base of a pie is 9 inches. The diameter of the top of the pie tin is 12 inches. How many square inches of crust need to be prepared in order to create a crust on the bottom and top but not on the sides of a pie made in this tin? Thanks for your help.
Click here to see answer by longjonsilver(2297)

Question 4546: How would I right an equation of the line perpendicular to the line
l: y=-1/4x+2 and passes through point P(3,0)?
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Question 4550: i have to find the standard form of the equation of the specified circle and I'm told that the center is (-1,2) and the solution point is (0,0). can someone help me find the answer and show me how you got it?
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Question 4544: How do I solve 3x-5y=-11 and x+2y=6 algebraically?
2x+y=-3 3x+y=8
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Question 4606: how can i find the radius and the diametr of a circle if only the circumference is given ?
c=16
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Question 4592: Is it possible for two lines with positive slopes to be perpendicular? explain.
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Question 4593: Explain whether or not any pair of points on a line can be used to calculate the slope of the line.
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Question 4742: I need to solve A=M+N/2
36=16+N/2
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Question 4762: i do not understand the formula for finding the measurement of an arc length. for example i have a right triangle the legs are 110 ft and 66ft i know the length of its hypotenuse. on the hypotenuse side of this triangle is an arc in which i need to know the measurement of its length how do i do this.

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Question 4814: can i have the formula of this "area of a trapezoid given its baes1,base2 ane height"
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Question 4809: How do I find the radius of a circle whose circumference is 28 inches?
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Question 4866: I have to graph a semi-circle in quadrant II on a graphing calculator. What would be an example of an equation that I could use to do that? Any help would be GREATLY appreciatied. Thank you, Rebecca Daigle
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Question 4792: find the perimeter of a triangle with vertices at (-5,-3),(7,2),(4,6).
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Question 4936: How do I find missing angle measures when I only have 1 angle measure such as 70 degrees or 25 degrees or 30 degrees?
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Question 5052: I have been given the volume of a cone, 100 in cubed. I need to find the function that models the height of the cone in terms of it's radius. Any help would be appreciated.
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Question 5754: I'm having trouble solving circumference ratios. The question is....
A boy rides his bicycle around a circular track that has a diameter of 76 ft. If a wheel of the bicycle spins exactly 48 times when going once around the track, what is the diameter of the wheel?
Write your answer in inches.
The answer key gives this formula to follow: n=D3.14/d3.14 =D/d
And here are the steps they made, but I don't know why they multiplied 76 by 12.
n=48
D=76=76*12=912
d=912/48=19
d=19inches

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Question 6624: Solce C=2(pi)r for r
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Question 6621: Find the geometric mean between 7 and 10

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Question 6579: How do I find the area of an Scalene Triangle if I don't have the height?
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Question 7297: Can you give me a example of an conjecture?
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Question 7370: problem:
the area of a circle is 25 meters. find the radius of the circle.
i solved to this point.
7.96 m (squared)= r (squared)
the books says answer is r=2.82
i need to understand the step on how they got the answer
thanks.
Click here to see answer by Earlsdon(6294)

Question 7440: please help me with this problem..
solve by any method.
3x-2y=-5
-3x-y=-1
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Question 8055: Is it possible to calculate the height from a given chord to a given arc, given that the only information available is the length of both the chord and the arc, I have been trying to calculate this for some time but it is in vain?

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Question 8777: If i only know the length of the chord then is it possible to find out the radius of the circle?

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