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![\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/ieww2slij42crxxsuxkbyzj31ggyv6m9l3.png)
What is the area of a circle with a radius of 4?
![\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/g9l5qgpjrf9tmn43py9avvk6yy7ohyglsb.png)
![\dashrightarrow\star\bigstar\boxed{\boxed{A=\pi r^2}}}](https://img.qammunity.org/2023/formulas/mathematics/college/dcyp2qyx8wd5f587s9dws9mdphc4bfkvza.png)
Where
- A = Area
- π = pi (3.14…)
- r = radius (we're given that it's equal to 4 units)
Using the provided information, we substitute the values into the formula:-
![\bold{A=\pi (4)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/reewibmry0ttslkwbpxl8kwprna7e1drl3.png)
First, square the radius:-
![\bold{A=16\pi }](https://img.qammunity.org/2023/formulas/mathematics/college/nmxn8cd689g190onzchqf3hbxqxjkzhavf.png)
Now multiply:-
![\bold{A=50.3\:units^2}](https://img.qammunity.org/2023/formulas/mathematics/college/olf86j06ro42ripdgkqbzq0w5gllghvyze.png)
Good luck.
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