Respuesta :
Step-by-step explanation:
since the pond is circular, its area will be πr².
a= πr², where r= 7ft
1 m ≈ 3.2808 ft
3.2808 ft ≈ 1 m
1 ft = 1/3.2808
7 ft = 1/3.2808 * 7
= 2.13362.. m
a= πr²
a= 3.14 * ( 2.13362...)2
a= 3.14 * 4.5523596...
a= 14.2944..
a= 10.0 m² (rounded to nearest tenth)
is the question right?
Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.
How to find the area of a circular shaped object?
Area of that circular shaped object with radius r units is given by:
[tex]A = \pi \times r^2 \: \rm unit^2[/tex]
For the given case, we've got a circular pond with a radius of 7 ft.
Since 1 m ≈ 3.2808 ft, thus,
dividing both the sides by 3.2808, we get
[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]
Therefore, the radius of the considered circular pond is approximately 2.1336 meters.
Using the formula for area of circle to find the area of circular pond, we get:
[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]
14.294 rounded to nearest hundredth would be 14.29
(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th place).
Thus, the area of the circular pond in consideration is 14.29 square meters approximately.
Learn more about area of circle here:
https://brainly.com/question/13004063
