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The circumference of a circle that has a central angle of 50o that intercepts an arc of length 15 cm is

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Solve 50/360=15/c for c. The solution is c=360*15/50=100 cm

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.


Mar 25, 2015 | Office Equipment & Supplies

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A right angle triangle with length of AB 10cm and AC 20cm, how do I find the angle of BC

Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:

/ 2 2 /
length BC = V 10 + 20 = V 100 + 400

= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

Oct 17, 2014 | Computers & Internet

2 Answers

15" circle what is outside measurement

If you would like to know the circumference of a 15" diameter circle this is the formula:
circumference = radius x 2 x pi
circumference = diameter x pi

in our case:
circumference = 15" x 3,14
circumference = 47 ,1" (that's 119,634 cm)

May 06, 2014 | Cars & Trucks

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

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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

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If you know about area formulas of class 8 and 9,please solve my question?there is a the between of the circle,there is a rectangle of dimension 4cm and 3cm.if the rectangle will cut out what...

The diameter of the circle is the diagonal of the rectangle use Pythagoras this rectangle is a made from two 3,4,5 triangles, so the diameter is 5cm, the radius will be 2.5cm don't forget the BODMAS ordering rule (Brackets of Division Multiplication Addition and Subtraction) Also rounding to 2 decimal places. This solution is based on all four corners of the rectangle touching the circumference of the circle.

Area of a circle is P (22/7) i x Radius (squared ^2) ====> 22/7 x 2.5cm ^ 2 ====> 22/7 x 6.25cm

TOTAL AREA of CIRCLE = 19.64 cm^2

Area of the rectangle is length x width ====> 4 cm x 3 cm


The remaining portion is the circle area minus the rectangle 19.64-12 = 7.64 cm^2

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Jan 31, 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.

The arc length can be obtained by:

(pi x r x Angle) / 180


(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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