Question

Two fences in a field meet at an angle of 120º , a cow is tethered at their intersection with a 15 meter rope. over how many square meters can the cow graze?

Answer 1

30m sq long rope can cow graze

Answer 2

Answer: 2119.5 square meter

Step-by-step explanation:

with a 15 m rope cow can graze in form of circular arc which radius is 15 m and center at angle is 120°.

so area covered by cow =

$\Pi r^{2}*\frac{120}{360}\\\\=\frac{22}{7}*15^{2}*3\\\\=2119.5 m^{2}$

so cow can graze 2119.5 square meter.