Question

A large circular farm is next to a river. A farmer can fence the farm with an iron wire of length 18.84 m. How much area will be enclosed by the fence (in $m^2)$?

• A. 29.28
• B. 28.26
• C. 26.28
• D. 28.29

Answer 1

The correct option is B

28.26

Length of the iron wire = 18.84 m

So, circumference of the circle enclosed by wire = 18.84 m

$2\pi r=18.84m$

So, radius of the farm, $r=\frac{18.84}{6.28}=3m$

Total area enclosed by the fence = $\pi r^2$

$=3.14\times 3^2=28.26m^2$