# Thread: 2 Math Homework Problems

1. ## 2 Math Homework Problems

1) In the Attachment
(mind the drawing)

AC is not the diameter because the chord does not pass through the center.

Pentagon Integer: 360/5 = 72 degrees

Area of Circumscribed circle is?

(Need in Details, how you exactly you did)

2) Dog, Cat, and Mouse Prob.

[Land] [Animals][Person] [Lake] [Land]

Rules:

• The person can only take 1 animal across
• Dog eats Cat
• Cat eats Mice

Question:
Minimum Trips to get everyone across? (Can go back and forth)

and I need the trips (ex: trip1: got the cat, trip2: went back, etc), not just the answer.

Thank you!

2. Your circle with regular pentagonal star.

1) Construct Angle Bisector at A
2) Construct Angle Bisector at B
3) Notice that you also just constructed the perpendicular bisector of AC.
4) Angle bisector from B intersects AC at point F. Label it.
5) The angle bisectors intersect at the Center of the circle. Call this O.
6) You have a right triangle, CFO.
7) Hypotenuse is Circle Radius.
8) Interior Acute Star angles are 36º. Half of that is 18º
9) cos(18º) = 5 / Radius.

I have no doubt there is an easier way.