Answer:
Option (2). 14 m
Explanation:
Formula to get the area of a circle 'A' =
![\pi r^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vmi45gdputitfb8ib60mwxbg9hlj7cclys.png)
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r =
![\sqrt{(153.86)/(\pi ) }](https://img.qammunity.org/2021/formulas/mathematics/college/48svwgpkl83ijgbt44m1wwxe4m8289beip.png)
r =
![√(49)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uv918v2ezww58tbp3g9ezr3e3smc8gabw9.png)
r = 7 meters
Diameter of circle = 2 × (radius of the circle)
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.