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If a square with sides of 14 inches is inscribed in a circle what is the diameter of a circle

Geometry ccss chapter 10

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It is the diagonal of a square 14" on a side. So by Pythagoras' Theorem

D^ = s^2 + s^2 = 392
D = 19.8"

Posted on Mar 30, 2014

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What is the area of a circle if the circumference is 2 pi inches

area formula is PI x r squared
that is 3.1417 times the radius of the circle squared
example is:- 3.1417 times 3 inches squared =3.1417 times 3x3=3.1417x9=28.279 square inches if you want to work back from a circumference measurement, the formula for circumference is 2 x PI x radius or PI x diameter
if you have a circumference of 12 inches then the dia is calculated 12 inches = dia x PI to get the diameter , divide the 12 inches by PI and that will be the diameter so that is 12 divided by 3.1417 =3.819 inches
now you can go from the first formula the radius is the diameter divided by 2 so the radius will be 3.819 divided by 2 = 1.909 inches
so applying the area formula it becomes 3.1417 times 1.909 times 1.909 =11.458 square inches
to find your answer simply substitute the dimensions in place of the example the relevant formula.

Aug 24, 2015 | Office Equipment & Supplies

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All these answers are for square objects. How do I find the measurements of a round object, i.e. a cement mixer?

Hi Debbie:
You still get to use your calculator, but you need to use the mathematical formulae dealing with circles.
Area = pi times r squared
Volume of a cylinder = Area (of one end) times length.

For your cement mixer, (Average the diameter for simplicity)
All of the measurements need to be in the same units, lets use inches, then convert it to cubic feet.....
the volume would be:
pi (22 divided by 7)
1/2 diameter
1/2 diameter

For my ancient mixer that would be:
22 / 7 x 10" x 10" x 22" = 6,914 cubic inches
1 cubic foot equals 12" x 12" x 12" equals 1728 cubic inches.
6,914 divided by 1728 equals 4 cubic feet.

Now we don't fill it right up, but that is its capacity.

Hope that helps.
By the way, my mixer likes 10 shovel fulls of navvy, 2 shovels of type 10 cement, and about 2 quarts of water to get a nice mix.
I do the water first,
then 5 navvy
then 2 cement
then another 5 navvy,
then just enough water to get the right consistency.

May 10, 2015 | Office Equipment & Supplies

1 Answer

A square is a circle and a circle is a square

What game does this relate to ?

A square is inscribed in a circle and a second circle is inscribed in the square. What is the relationship between the areas of the two circles.
Literally, squaring the circle means devising the straightedge-and-compass construction of a square whose area equals that of a given circle. T square the circle

May 04, 2015 | Video Game Consoles & Games

2 Answers

How many gallons in 28" diameter by 20"

Just a little over 53.3 gallons

Mar 20, 2015 | Water Heaters

1 Answer

How many gallons are in a tank 12" in diameter x 40" long?

Radius square x pi = area of circle
6" x 6" x 3.1415 = 113 square inches
113 square inches x 40 inches = 4523 cubic inches

231 cubic inches in 1 gallon
4523 divided by 231 = 19.58 gallon


Sep 09, 2014 | Water Heaters

1 Answer

Area of circle

(pi)R squared (Fixya won't let me use the sign for Pi)

Area of a circle=pi*radius^2 or pi times radius times radius

example: suppose the radius of a circle is 10 inches, then the Area of the circle would be pi times 10 times 10 or 100*pi

pi represents the circumference (distance around) of a circle / diameter and for any circle is constantly the same number which is approximately 3.14

so in my example 100*pi=100*3.14 or 314 square inches

Jul 03, 2014 | Computers & Internet

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) )


Apr 14, 2014 | Office Equipment & Supplies

1 Answer

What is the diameter of a circle

pi x radius square
ex circle with a 10" diameter
3.14 x 5 x 5
= 78.50 square inches

Feb 01, 2014 | Office Equipment & Supplies

1 Answer

What is the length of the radius of a circle inscribed in a triangle whose sides are 10, 8 and 14?

You can use this tool:
7.12 is the radius of the circumcircle, also called the triangle's circumradius.

Sep 25, 2011 | Office Equipment & Supplies

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