### Home > CCG > Chapter 9 > Lesson 9.2.2 > Problem9-81

9-81.

The floor plan of Marina’s local drugstore is shown below. While shopping one day, Marina tied her dog, Mutt, to the building at point $F$. If Mutt’s leash is $4$ meters long, what is the area that Mutt can roam? Draw a diagram and show all work. Homework Help ✎

Area of the whole circle = πr². Since r = 4, the area = 16π.

The area Mutt can roam =
(fraction of circle Mutt can roam)(area of entire circle)

$\frac{360\degree-120\degree}{360\degree}=\frac{240\degree}{360\degree}(16\pi)$

Area Mutt can roam $≈ 33.51\text{ m}²$