Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To find the correct formula for the area of a circle, we need to understand what each term in the multiple-choice answers represents.
1. A. [tex]$A=\pi d^2$[/tex]
- [tex]\(d\)[/tex] represents the diameter of the circle.
- The formula uses [tex]\(d^2\)[/tex], but the correct formula does not.
2. B. [tex]$A=\pi r^2$[/tex]
- [tex]\(r\)[/tex] represents the radius of the circle.
- The formula includes [tex]\(\pi\)[/tex] multiplied by the square of the radius, which aligns with the definition of the area of a circle.
3. C. [tex]$A=\pi^2 r$[/tex]
- This option includes [tex]\(\pi^2\)[/tex], suggesting [tex]\(\pi\)[/tex] squared, which is incorrect.
- The radius is not squared in this formula, which is also incorrect.
4. D. [tex]$A=\pi r$[/tex]
- This option includes [tex]\(\pi\)[/tex] multiplied by the radius, which is incomplete and incorrect.
The correct formula for the area of a circle is found in option B:
[tex]\[ A = \pi r^2 \][/tex]
So, the answer to the question "What is the formula for the area of a circle?" is:
B. [tex]$A=\pi r^2$[/tex]
1. A. [tex]$A=\pi d^2$[/tex]
- [tex]\(d\)[/tex] represents the diameter of the circle.
- The formula uses [tex]\(d^2\)[/tex], but the correct formula does not.
2. B. [tex]$A=\pi r^2$[/tex]
- [tex]\(r\)[/tex] represents the radius of the circle.
- The formula includes [tex]\(\pi\)[/tex] multiplied by the square of the radius, which aligns with the definition of the area of a circle.
3. C. [tex]$A=\pi^2 r$[/tex]
- This option includes [tex]\(\pi^2\)[/tex], suggesting [tex]\(\pi\)[/tex] squared, which is incorrect.
- The radius is not squared in this formula, which is also incorrect.
4. D. [tex]$A=\pi r$[/tex]
- This option includes [tex]\(\pi\)[/tex] multiplied by the radius, which is incomplete and incorrect.
The correct formula for the area of a circle is found in option B:
[tex]\[ A = \pi r^2 \][/tex]
So, the answer to the question "What is the formula for the area of a circle?" is:
B. [tex]$A=\pi r^2$[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.