Samatha is running near the Circular Park, the shape of a perfect circle. It has a radius of 8 cm. 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 cm 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 cm south, which means she began at (10, -3)
3) She heads toward a point 20 cm east and 4 cm 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? x2+y2=r2, r being the radius
If someone could help me by providing the steps or explaination, that would be nice