Question

What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)

Answer 1

1073.45 in²

Explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

What is the diameter?

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

• π ×
  `r^(2)` = Area of a circle

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

• diameter ÷ 2 = radius

Now that we know this, we can insert 37 in for the diameter:

• 37 ÷ 2 = 18.5

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

• π ×
  `18.5^(2)` =

Using 3.14 for pi:

• 3.14 ×
  `18.5^(2)` =

• 1073.45 in²

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².