Compute the area of a circle with a circumference of 56 pi feet - include the formula, exact answer, and approximate answer. !

Answer :  Exact answer of area of circle= 2464 feet

Approximate answer of area of circle = 2461.76 feet

Explanation:

We have given that,

Circumference of a circle=56 feet

And we know that,

Cirumference of a circle= 2r

So,

For exact answer we take the value of   = ,

Now, 2r= 56 feet, where r is a radius

⇒r=

⇒r= 28 feet

Now we will use the formula for the area of circle,

Area of circle= r²

                     = ×28×28

                     =

                     =2464 feet

So, the exact answer will be 2464 feet.

Now ,we do for approximate value, we will use the value of =3.14

Circumference of circle = 56  feet

                                       = 56 × 3.14 feet

                                       = 175.84 feet

So we use the formula of circumference again which is 2r

∴ 2r= 175.84

⇒2× 3.14× r= 175.84

⇒6.28 × r= 175.84

⇒ r=

⇒ r=28 feet

Now, Area of circle= r²

                     =3.14×28×28 feet

                     =2461.76 feet

Hence , Area of circle in both the cases will be 2464 feet and 2461.76 feet respectively.

55/i dont know i do it for the points

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