5. If the tree's circumference is 141.3ft, what is its diameter?
2 answers:
Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
<h3>Diagram:</h3>

<h3>Given:</h3>

↬ Circumference of circle = 141.4 ft

<h3>To find:</h3>

↬ diameter of circle

<h3>Solution:</h3>

To find diameter first we should know value of radius.
As:-


So first let's find value of radius.

we know:-



By using this formula we can find value of radius.



















Now let find diameter:
As we know:

Therefore:











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