twigboy27
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A circular plate has circumference 16.3 inches. What is the area of this​ plate? Use 3.14 for pi.
The area of this plate is about " blank" square inches
​(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as​ needed.)
Plz answer will give brainiest to the person who answers this plz help!!!!!!!

Respuesta :

Space

Answer:

The area of this plate is about 21 in².

General Formulas and Concepts:

Algebra I

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Geometry

Circumference Formula: C = 2πr

  • r is radius

Area of a Circle Formula: A = πr²

  • r is radius

Step-by-step explanation:

Step 1: Define

Identify given.

C = 16.3 in

Step 2: Find Radius r

  1. [Circumference Formula] Substitute in C:
    16.3 in = 2(3.14)r
  2. [Division Property of Equality] Divide 6.28 on both sides:
    r = 2.596 in

Step 3: Find Area

  1. [Area of a Circle Formula] Substitute in r:
    A = 3.14(2.596 in)²
  2. Evaluate:
    A = 21.1611 in²
  3. Round:
    A ≈ 21 in²

∴ we have found the area of the plate.

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Learn more about geometry: https://brainly.com/question/15827799

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Topic: Geometry

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