It says calculate in degrees, the angle subtended at the centre of a circleof radius 2.7 cm by anarc of length 6.9 cm

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First of all you must realize that on a circle of fixed radius, the length of an arc is proportional to the angle that subtends it.

For example, to a 90 degree angle corresponds 1/4 of a circumference, to 180 degrees 1/2 the circumference. Double the angle, double the arc length.

Once this is understood you can say that

arc length = k*angle where k is the constant of proportionality or**l=k*a **or** k=l/a**

Similarly

2*Pi*R=k*360 degrees or **k=(2PiR)/360**

It is the same k for the same circle

So

k=**l/a=(2Pi*R)/360 **

Your angle is

Now, you should note that the ratio 180 deg/Pi=57.29 is the value in degrees of an angle of 1 radian.

Posted on Oct 22, 2013

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About 146 and a half degrees.

If this is homework, be 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

SOURCE: given a length of 30 cm on the x axis and a length

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).

- 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.
- Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
- Finally b=90-a=18.4 degrees.

If this was helpful please rate 4 thumbs :)

Posted on Sep 05, 2011

SOURCE: Error when using inverse trig inever used to get

If you are trying to calculate arcsine (sin^-1) and arccosine (cos^-1) the only whole number you can use are -1,0 and 1. **This due to the fact that the domain of these functions is the closed interval [-1,1]. **Any value outside that interval will trigger an error message. No limitation on the argument of the arc tangent or arc cotangent functions

If the angle unit is set to degree the arc will be in degrees, and if angle unit is radian, the arc will be in radians.

Posted on Sep 29, 2011

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

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

Aug 25, 2015 | Miscellaneous

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

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

Volume of right cylinder is

V=(Area of base)*height.

If cylinder is circular Area of base =PI*radius^2=Pi*r^2

Volume is**V=Pi*(8^2)*6 cm^2**

Finish the calculation.

V=(Area of base)*height.

If cylinder is circular Area of base =PI*radius^2=Pi*r^2

Volume is

Finish the calculation.

Jun 28, 2014 | Office Equipment & Supplies

Volume of right cylinder is

V=(Area of base)*height.

If cylinder is circular Area of base =PI*radius^2=Pi*r^2

Volume is**V=Pi*(8^2)*6 cm^2**

Finish the calculation.

V=(Area of base)*height.

If cylinder is circular Area of base =PI*radius^2=Pi*r^2

Volume is

Finish the calculation.

Jun 28, 2014 | Casio MS-80TE Calculator

About 3.54 cm (the square root of 12.5).

Jan 15, 2014 | Texas Instruments TI-83 Plus Calculator

About 146 and a half degrees.

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

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

Oct 22, 2013 | Office Equipment & Supplies

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.

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

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).

If this was helpful please rate 4 thumbs :)

- 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.
- Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
- Finally b=90-a=18.4 degrees.

If this was helpful please rate 4 thumbs :)

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

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.

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,

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

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.*

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

Jun 28, 2011 | Computers & Internet

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