A circular plate has circumference 16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number as needed

The area of the plate is 21 inches

Step-by-step explanation:

* Lets revise some rules of a circle

- The circumference of a circle = 2πr, where r is the radius of it

- The area of the circle = πr²

* Lets solve the problem

∵ A circular plate has circumference 16.3 inches

∵ The circumference = 2πr

∵ π = 3.14

- Lets find the radius of the plate

∵ 16.3 = 2 (3.14) r

∴ 16.3 = 6.28r

- Divide both sides by 6.28

∴ r = 16.3/6.28 = 2.5955 ≅ 2.6

∴ The radius of the plate is 2.6 inches

* Lets find the area of the plate

∵ The area = πr²

∵ π = 3.14

∵ 4 = 2.6

∴ The area = 3.14 (2.6) ² = 21.22 ≅ 21

* The area of the plate is 21 inches