if you the know the area of a circle can you find out the perimeter?

Question

for example if a question asks "find the perimeter of a circle with an area of 63.7

Answer 1

well.. you know area = pi*r^2=63.7
then you solve for r by dividing 63.7 by pi, then taking the squareroot of that.. which gives you r
then with r you can use that to find the circumference of the circle by using 2pi*r
the circumference is the same as the perimeter i'm assuming?

Answer 2

Yes, you can.
The area of a circle is pi*(radius^2) , right?
Pi being a constant you can devise the formula into the perimeter that is 2(pi)(radius).
You just have to apply some of the properties in linear equation and you're done.
How about I make you an example. Let me use your given eg.
Area=63.7
63.7=(pi)(radius^2)
You can find then the radius of this equation.
Then just evaluate the radius in the formula in getting the perimeter of the circle.
*****By the way the more appropriate name for the perimeter of a circle is circumference. The actual meaning of perimeter is the sum of all sides of a polygon. Circle doesn't have any sides, right?

Answer 3

Yes. 63.7 = πr². Divide both sides of the equal sign by π to get 20.276 = r² (rounding to the nearest thousandths). Find the square root of both sides of the equal sign to get 4.503 = r. To find the perimeter (circumference) of a circle, you do 2πr. Plug 4.503 into this equation as r to get 2π4.503. Finally, the perimeter is 28.293.

Answer 4

Yeah the formula for area is pi *r^2. The formula for the circumference, or perimeter of a circle, is 2*pi*r. Divide the area by pi and find the square root of that to get r. Put that number in for r in cirumference formula and solve.

Answer 5

yes, of course, since pi is a constant, the only variable used for both perimiter and area is the radius. So you can find the radius of a circle simply be knowing its area, or simply by knowing its perimeter. then you can go from knowing the radius to determine either the area or the perimeter, again.
pi*r^2 = A
2*pi*r = B
B/(2*pi) = r
pi*B/(2*pi)*B/(2*pi)=A
B^2/(4*pi)=A

Answer 6

Consider the circle given, area 63.7 m² say.
63.7 = π.r ²
r² = 63.7 / π
r = √(63.7 / π )
r = 4.5 m
Perimeter = 2 π r
Perimeter = 9 π
Perimeter = 28.3 m (to 1 decimal place)

Answer 7

yes you can
since the area of the circle is given by S=pi*r^2 and the circumference of the circle is given by C=2*pi*r

Answer 8

Yeah because you know
Area= (pi)(radius)(radius)
so you can divide the area by pi which is roughly 3.14
then take the square root of that.
Now you know radius and you know
Perimeter=2(pi)(radius)
so sub in your radius and 3.14 again and multiply it out

Answer 9

area of a circle =pi*r^2
thus by solvig the eqn. u get the value of r then find the peri.using the formulea 2 pi r

Answer 10

yes you can calculate the circumference or perimeter.
area=22/7*r*r=63.7
r*r=63.7*7/22
r=4.50(approx.)
circumference or perimeter=2 * 22/7 * 4.5 = 28.28(approx.)