A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for pi.

Answer: Area = 63.9 inches²

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle

π is a constant whose value is 3.14

From the information given,

circumference = 28.3 inches

Therefore,

28.3 = 2 * 3.14 * r

28.3 = 6.28r

r = 28.3/6.28

r = 4.51 inches

The formula for determining the area of a circle is expressed as

Area = πr²

Area = 3.14 * 4.51² = 63.9 inches²

A = 63.76512739 in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi * r

28.3 = 2 * 3.14 * r

28.3 = 6.28r

Divide each side by 6.28

28.3/6.28 = 6.28r / 6.28

4.506369427 = r

Now we need to find the area

A = pi r^2

A = 3.14 (4.506369427) ^2

A = 63.76512739 in^2