THE CIRCUMFERENCE OF A CIRCLE IS 31.4 centimeters. What is the area of the circle?

C=2pi*r

solve for r...

31.4=6.28r
r=4.9974

A=pi*r^2

A=78.5 centimeters.

excuse me, I got the units of Area incorrect. It should be cm^2. So 78.5 cm^2.

Hsj

no its not

To find the area of a circle, we need to know its radius or diameter. However, in this case, we are given the circumference of the circle (31.4 centimeters), so we need to find the radius first.

The formula to calculate the circumference of a circle is:
C = 2πr
where C is the circumference and r is the radius.

By rearranging the formula, we can solve for the radius:
r = C / (2π)

Substituting the given circumference into the formula:
r = 31.4 cm / (2 × 3.14) (approximating π as 3.14 for simplicity)
r ≈ 31.4 cm / 6.28
r ≈ 5 cm

Now that we have the radius (5 centimeters), we can find the area of the circle using the formula:
A = πr^2
where A is the area and r is the radius.

Plugging in the values:
A = 3.14 × (5 cm)^2
A = 3.14 × 25 cm^2
A = 78.5 cm^2

Therefore, the area of the circle is 78.5 square centimeters.