Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
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]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.