How to find the....?

Question

How do u find the area of a circle knowing that the circumference is 314?

Can u give me the whole steps?

Thx

Well not the whole steps but the formula

Answer 1

Circumfrence = 2 * pi * Radius

So Radius = Circumfrence / (2 * pi) = 314 / (2 * 3.14) = 50

Area = pi * Radius^2 = 3.14 * 50^2 = 7,850

Answer 2

circumference = pi * d
314 = 3.14 d
d = 314 / 3.14 = 100
r = 1/2 d = 50

How to find the area of a circle:
The area of a circle can be found by multiplying pi ¶ (which is equal to 3.14) by the square of the radius
If a circle has a radius of 4, its area is 3.14*4*4=50.24
If you know the diameter, the radius is 1/2 as large.

3.14 * 50 * 50 = 7850

Answer 3

The area of a circle = (pi)r^2
The circumference of a circle = 2(pi)r
Where r is the radius of the circle

Therefore; 2(pi)r = 314

We need to find r to plug into the equation for the area of a circle
r = 314/2(pi)

pi = 3.142
r = 314/(2X3.142)
r = 314/6.284
r = 49.97

Substitute this value of r in the formula for the area of a circle
(pi)r^2

= 3.142(49.97^2)
= 3.142(2497)
= 7845.574

Answer 4

that's easy....
The Area Of a Circle

[1] Finding the Area of a circle given the radius of the circle..

Definition : The radius of a circle is a straight-line drawn from the center of the circle to any point on its circumference .
The symbol p is called pi and is approximately equal to 22/7 or 3.141592654 , most high school teachers use it to two decimal places as 3.14
p is the ratio between the circumference and the diameter of a circle ..i.e
p = (circumference / diameter ).
Interestingly the value of p is the same for any circle ...

Area of circle = p x ( radius x radius ) = p radius2

if the Radius = R
then
Area of circle = pR2 = p x R x R



EXAMPLE (1) Find the area of the circle with radius 10 cm ..use p as 3.14
Answer
Here we have :
Radius = 10 cm
p = 3.14

Using the formula Area of circle = p radius2 = p x radius x radius

replacing radius with 10 cm and p with 3.14 in above formula we have

Area of circle = p radius2 = p x radius x radius = 3.14 x 10cm x 10cm = 3.14 x 100 cm2 = 314 cm2




[2] Finding the Area of a circle given the Diameter of the circle..


Definition : The diameter of a circle is a straight-line passing through the center of the circle touching the circumference of the circle at any two points..

Look at the figures immediately above , look at the half way mark of diameter (center of circle) in figure(3) do you see 2 radi (radi is the plural of radius)..,If you take the radius (R) in figure(1) and the radius (R) in figure(2) and put them together ,without any over-lapping ,they will form the diameter of as shown in figure(3)..(Note : all of the cirles above are of the same size.)
Hence ,
The diameter = radius + radius = 2 radi.

Let R = radius
so that
diameter = 2R
or , 2R = diameter
dividing both sides by 2 , solving for R
gives ;
R = (diameter)/2

so, radius = (diameter)/2

To find the area of a circle given its diameter :
Step [1] - find the radius by dividing the diameter by 2 ,i.e radius = diameter/2
Step[2] - now that you have found the radius (in step [1] ) use the formula above
( Area of circle = p radius2 = p x radius x radius )
and you are done..


Alternatively you can use the diameter directly, with the formula derived below
We have shown above that
radius = (diameter)/2
since radius = (diameter)/2 ,we can replace radius with (diameter)/2 in the formula ,
Area of circle = p radius2 = p x radius x radius
which gives :
Area of circle = p radius2 = p x radius x radius = p x (diameter/2) X (diameter/2)
i.e :
Area of circle = (p x diameter2)/4
= (p x diameter x diameter ) / 4





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Answer 5

area = pi (r squared)
circumferance = 2* Pi* r

since the circumference is 314
314 = 2*pi*r
157=pi*r
r = 157/pi

now enter this r into your area formula
A = 2 *pi*(157/Pi)^2
A = 2*Pi(24649/(pi^2))
A=(2*24649)/pi
A=49298/pi
a is about 15670 units squared