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The Surface of a circular swimming pool has an area of 25pi square feet. What's the Circumference?

Sagot :

Answer: 31.42 feet

Step-by-step explanation: The formulae used for the area of a circle is

A = pi * (radius)^2

where r is the radius of the circle

We know that the area is 25 pi so substitute that into the formula

25pi = pi(r^2)

r^2 = 25

radius = sqrt 25

= 5 ft

si we ignore the negative value of the square root since he radius cannot be negative.

Next we look at the formula for the circumference of a circle

C = pi(d)

= pi *(2r)

= 2(5)(pi)

= 10pi

= 31.42 feet

So  the  most important part to this question was finding the radius of the circle using the  value for the area.

Answer: Pi = Circumference / Diameter


Pi is often approximated by 3.14 or 22/7, but it has many more digits.  It is used in many ways in math.

So, using the definition and multiplying both sides by d, the diameter, we get:

      C = ∏d

      C = 2∏r                    [because d=2r where r is the radius of the circle]

Also, the area of the circle is:

      A = ∏r2

 

And, of course, the volume of a cylinder and the volume of a cone and the volume of a sphere and ...(lots more) have Pi (that is, ∏) somewhere in the formula.

In this problem, the area A is 25∏  

This means that r2=25 and that r=5.

   With r=5, then C=10∏   


Step-by-step explanation: I really hope this helps you. :)