Question

A circular plate has circumference 33.3 inches. What is the area of this plate? Use 3.14 for Pi.

The area of this plate is_____about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answer 1

88 square inches

Explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.