Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

Given :

• Area of circle = 33.02 cm²

To Find :

• Radius = ?

Solution :

We know that,

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

$\sf : \implies 33.02 = \pi r^{2}$

$\sf : \implies \dfrac{3302}{100} = \dfrac{22}{7} \times r^{2}$

$\sf : \implies \dfrac{\cancel{3302}^{1651}}{100} \times \dfrac{7}{\cancel{22}_{11}} = r^{2}$

$\sf : \implies \dfrac{1651 \times 7}{100 \times 11} = r^{2}$

$\sf : \implies \dfrac{11557}{1100} = r^{2}$

$\sf : \implies \sqrt{\dfrac{11557}{1100}} = r$

$\sf : \implies 3.24135213 = r$

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

Therefore, radius = 3.242 (approx.)