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Calculate in degrees, the angle subtended at the centre of a circle of radius 2.7cm by an arc of length 6.9 cm

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About 146 and a half degrees.

If this is homework, make sure to show your work.

Posted on Oct 22, 2013

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Posted on Jan 02, 2017

SOURCE: finding the length of a triangle

might try

(54tan)/45

I don't have a calc that will do it or I would try it and see.

Posted on Aug 01, 2008

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SOURCE: what is the edge length of a hexagon with a circle

A regular hexagon is made up of six equilateral triangles. This means that the length of any one side of the hexagon is equal to the radius.
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Posted on Jun 03, 2011

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SOURCE: how to find the length

You can not do it unless you know the measure of the central angle sustending (supporting) the arc. If the angle is known, you use the proportionality relation that follows:
If angle is in degrees
(length of arc) / circumference=(measure of central angle sustending arc)/360.
Here the circumference is 2*PI*radius.

If angle is in radians , the relation is somewhat simpler,
arc length= (radius length)* (angle measure in radians)
It is clear that in the last relation, the unit for the arc length is the same as the unit for the radius.

Posted on Jul 15, 2011

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1 Answer

The radius of a circle is 3 centimeters. What is the length of a 90° arc?


circumference is pye times twice the radius or by the diameter
3.1417 X 6 ( diameter or 2 times the radius )= 18.8496
90 degrees is 1/4 of the circumference
18.8496 divided by 4 = 4.7124 cms
arc of 90 degrees =4.74124 cms

May 02, 2017 | The Computers & Internet

1 Answer

For a 10ft radius octagon, how long should each side be?


There is probably a formula for this or other ways of doing this, but I will give it a shot.

An octagon has 8 sides (octopus has 8 legs). To make an octagon, we effectively have 8 triangles joined at the centre. In the centre, we have 8 equal angles. Since a full circle is 360 degrees, each of these angles must be 360 / 8 or 45 degrees.

Now we can just focus on one of these triangles. We have an angle of 45 degrees at the centre and two arms extending out 10 feet.

At this point, we can use the cosine law to calculate the length of the side or we can recognize that it is an isosceles triangle and work out the other angles and determine the length of the side.

Using Cosine Law, a^2= b^2 + c^2 - 2xbxc Cos A
In this case, A = 45 degrees, b = 10 feet, c=10 feet.

Good luck.

Let me know if you have any questions.

Paul



25836710-svfkql4tdyrcdjnxkdbmy0mo-3-0.jpg

Aug 25, 2015 | Miscellaneous

1 Answer

What's the measure of an arc if it's central angle is 35 degrees?


Assume the central angle is 35 degrees and the radius is 1.

The circumference of the whole circle is 2 x pi x radius. Since the radius is 1, the circumference will be 2 x pi.

Now a full circle is 360 degrees.

Now we can set up a ratio of 35 degrees is to 360 degree as x is to 2pi.

35 x
---- = -------
360 2xpi

Cross-multiply and isolate your variable.

Good luck.

Paul

Mar 25, 2015 | Office Equipment & Supplies

1 Answer

What is the formal for figuring out a radius on a angle


Arc = radius x angle, where the angle is in radians.

Pi radians = 180 degrees

Mar 01, 2015 | Office Equipment & Supplies

1 Answer

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) )

c93df117-a9e7-4633-adb9-0d8d9297b919.png

Apr 14, 2014 | Office Equipment & Supplies

2 Answers

I have a problem concerning radians and angles


About 146 and a half degrees.

If this is homework, be sure to show your work.

Oct 22, 2013 | Office Equipment & Supplies

1 Answer

How to calculate the sides of a hexagon?


Well it depends. If the hexagon is irregular (sides are not equal) there is no formula to calculate the sides as they can have arbitrary values. You must measure them.
If the hexagon is regular you may be able to relate the measure of a side to the radius of the circle in which it is inscribed. If you have the radius of the circle, the side is equal to the radius. If you have the value of perimeter you divide that value by 6.
There is also a formula that relates the area of the hexagon to the measure of the side s. The formula is Area=(6/4)(s^2)cot(PI/6), where cot is the cotangent function, its angle is in radian. In degrees Pi/6 is 30 degrees.

Dec 31, 2011 | Office Equipment & Supplies

1 Answer

Given a length of 30 cm on the x axis and a length of 10 cm on the y axis and a angle of 90 at the x/y axis intersection is there a short cut to calculate interior angles and hypot. of the triangle?


Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).
  1. Length of hypotenuse is square root of sum of squares of lengths of other two sides of triangle, which is equal to square root of 30^2+10^2=31.6 cm.
  2. Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
  3. Finally b=90-a=18.4 degrees.
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If this was helpful please rate 4 thumbs :)

Sep 05, 2011 | Texas Instruments TI-30XA Calculator

1 Answer

How to find the length ot the arc ,a circle has a radius of 45cm.


You can not do it unless you know the measure of the central angle sustending (supporting) the arc. If the angle is known, you use the proportionality relation that follows:
If angle is in degrees
(length of arc) / circumference=(measure of central angle sustending arc)/360.
Here the circumference is 2*PI*radius.

If angle is in radians , the relation is somewhat simpler,
arc length= (radius length)* (angle measure in radians)
It is clear that in the last relation, the unit for the arc length is the same as the unit for the radius.

Jul 15, 2011 | Casio FX-300MS Calculator

2 Answers

A pizza is divided into 8 equal parts. what is the area of one slice if its radius is 6 inches?


Hello and Welcome to FixYa!
Area of pizza (Combined Bread + Crust) = Area=pie * (radius)^2. If divided in 8 equal parts, Area of 1 piece=Area/8.
Area= 3.1415* (0.1524)^2 Area of 1 slice= Area/8 Concerned.

Jun 28, 2011 | Computers & Internet

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