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# Regular polygons the ratio of the sids of regular polygon is 4:5 and the ratio of the angles of that poligon is 15:16 find the number of sides......?

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• Anonymous Apr 01, 2014

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### Anonymous

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Posted on Aug 16, 2008

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× ## Related Questions:

### How many angles does a regular polygon have when its interior angle is 176 degrees

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

### How many sides does a regular polygon have when the interior degrees is 176?

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

### What is the number of diagonals of a regular polygon whose interior angle measures 144 degrees?

180(n-2)=n*144 in our case
solving for n we obtain:
36n = 360
n=10 sides
CHECK!!!!!!!!!!!!!!!!!!!

Dec 01, 2015 | Miscellaneous

### Hexagon calculator

I will not try to guess what that diameter represents, so I will give you all mensuration formulas for the area of a regular polygon.
s is the measure of the side, r the radius of the inscribed circle, R the radius of the circumscribed circle, and n the number of sides.
If the angle unit in your calculator is the degree, use 180 instead of Pi. Use the formulas with PI if angle unit is set to radians.
In the formulas on the last line of the display screen (the formulas with sine functions) the radius r should be R (circumscribed circle radius). cot is the reciprocal of the tangent function (cot(x)=1/tan(x) ) Apr 14, 2014 | Office Equipment & Supplies

### If the ratio of the corresponding side lengths of two similar polygons is 5:9, what is the ratio of their perimeters?

This works for any polygon:

Say you have 2 squares - the sides are 5 and 9
Perimeter 1 = 20
Perimeter 2 = 36

20:36 = 5:9

Apr 10, 2014 | Texas Instruments TI-83 Plus Calculator

### TROUBLESHOOTING ERROR CODE SC320

SC-320 Polygon mirror motor error:
Symptom: Did not detect lock signal from
polygon mirror motor within 10
seconds after motor ON signal;
or, lost lock signal for
continuous 1.5 seconds after
signal was detected.
Cause:
1.Polygon mirror motor (or harness)
defective
2.FCU defective

P.S. Remove LSU. Turn out poligon mirror.
Clean & lubricate.

Jun 19, 2009 | Ricoh Aficio 150 Copier

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