Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
To find the area of a circle, we use the formula:
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to [tex]\( 3.14159 \)[/tex], and [tex]\( r \)[/tex] is the radius of the circle.
In this case, the radius [tex]\( r \)[/tex] is given as [tex]\( 11 \)[/tex] meters. Plugging this value into the formula, we have:
[tex]\[ A = \pi \times (11)^2 \][/tex]
First, compute the square of the radius:
[tex]\[ 11^2 = 121 \][/tex]
Now, multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ A = \pi \times 121 \][/tex]
Using the approximate value of [tex]\( \pi \)[/tex]:
[tex]\[ A \approx 3.14159 \times 121 \][/tex]
[tex]\[ A \approx 380.132711084365 \][/tex]
So, the approximate area of the circle with a radius of 11 meters is [tex]\( 380.132711084365 \)[/tex] square meters. Given the options:
A. [tex]\( 34.5 \, m^2 \)[/tex]
B. [tex]\( 69 \, m^2 \)[/tex]
C. [tex]\( 380 \, m^2 \)[/tex]
D. [tex]\( 190 \, m^2 \)[/tex]
The closest and most accurate option is:
C. [tex]\( 380 \, m^2 \)[/tex]
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to [tex]\( 3.14159 \)[/tex], and [tex]\( r \)[/tex] is the radius of the circle.
In this case, the radius [tex]\( r \)[/tex] is given as [tex]\( 11 \)[/tex] meters. Plugging this value into the formula, we have:
[tex]\[ A = \pi \times (11)^2 \][/tex]
First, compute the square of the radius:
[tex]\[ 11^2 = 121 \][/tex]
Now, multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ A = \pi \times 121 \][/tex]
Using the approximate value of [tex]\( \pi \)[/tex]:
[tex]\[ A \approx 3.14159 \times 121 \][/tex]
[tex]\[ A \approx 380.132711084365 \][/tex]
So, the approximate area of the circle with a radius of 11 meters is [tex]\( 380.132711084365 \)[/tex] square meters. Given the options:
A. [tex]\( 34.5 \, m^2 \)[/tex]
B. [tex]\( 69 \, m^2 \)[/tex]
C. [tex]\( 380 \, m^2 \)[/tex]
D. [tex]\( 190 \, m^2 \)[/tex]
The closest and most accurate option is:
C. [tex]\( 380 \, m^2 \)[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.