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The radius of a circle with central angle of 40o that cuts off an arc of .

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Incomplete question.

Posted on Feb 14, 2012

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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

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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) )

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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 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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Find the radius of a circle in which a 40o central angle cuts off an arc whose length is 4pi


If an arc is 4╥, it is 12.56.
You can use 12.56 as a starting point and figure out what circumference that is 40° of.

Circumference = 2 • π • radius = π • diameter

Reverse this and you will have your answer.

Oct 12, 2009 | Computers & Internet

2 Answers

A 30o angle cuts off an arc in a circle with a diameter of 10 in. Find the length of the arc to the nearest hundredth.


Hi,
The arc length can be obtained by:

(pi x r x Angle) / 180

or

(3.1415 x 5 x 30) / 180 = 2.618 in.

Hope this helps...

Sep 15, 2009 | Vivendi Math Blaster Geometry for PC, Mac

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