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,
<em> For exact answer we take the value of = ,</em>
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.
<em>Now ,we do for approximate value, we will use the value of =3.14</em>
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.