Samatha is running near the Circular Park, the shape of a perfect circle. It has a

** radius of 8 km**. She begins from a point

**10 cm west **and

**3 cm south** of the center of the park. She heads toward a point

**20 cm east **and

** 4 km north of the center of the park**. Though, when she reaches a point due

**east** of the center of the forest, she turns and runs due

**south** until she exits the park.

Samatha runs at a constant

**5 cm per hour**. How much

**time** did she spend in the forest?

So the things I bolded were the main given facts and numbers

So I tried drawing a coordinate plane.

1) I made the

__center of the forest (0,0)__
2) She begins from point 10 cm

**west** and 3 km

**south**, which means

__she began at (10, -3)__
3) She heads toward a point

**20 cm east** and

**4 km north** of the center of the forest, so

__it's at (20,4), but she's heading there__
4)

**I don't know if I'm correct here**, she moves east now to the center of the forest then runs south?

Then (5) would be another step,

Would I use the standard equation of the circle?

__x__^{2}+y^{2}=r^{2}, r being the radius

If someone could help me by providing the steps or explaination, that would be nice

Thanks!