Question

If the area of a circle is 33.02 cm squared what is the radius

Answer 1

Given :

• Area of circle = 33.02 cm²

To Find :

• Radius = ?

Solution :

We know that,

`\large \underline{\boxed{\sf{Area \: of \: circle = \pi r^(2)}}}`

`\sf : \implies 33.02 = \pi r^(2)`

`\sf : \implies (3302)/(100) = (22)/(7) * r^(2)`

`\sf : \implies \frac{\cancel{3302}^(1651)}{100} * \frac{7}{\cancel{22}_(11)} = r^(2)`

`\sf : \implies (1651 * 7)/(100 * 11) = r^(2)`

`\sf : \implies (11557)/(1100) = r^(2)`

`\sf : \implies \sqrt{(11557)/(1100)} = r`

`\sf : \implies 3.24135213 = r`

`\large \underline{\boxed{\sf{ r = 3.242 \: (approx.)}}}`

Therefore, radius = 3.242 (approx.)

Answer 2

r = 3.242 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Geometry

• Area of a Circle: A = πr²

Explanation:

Step 1: Define

A = 33.02 cm²

Step 2: Solve for r

1. Substitute {AC]: 33.02 cm² = πr²
2. Isolate r term: 33.02 cm²/π = r²
3. Isolate r: √(33.02 cm²/π) = r
4. Rewrite: r = √(33.02 cm²/π)
5. Evaluate: r = 3.242 cm