Locked: Grade 9 math tutor Q

Edit: ignore the Step 1. I assumed this as a radius instead of diameter

Answer is 6+pi = 9.14159265359

i hope this helps

The length of the path traced out by the center of the coin can be calculated by multiplying the circumference of the coin by the number of times it makes a complete rotation around the hexagon.

The circumference of a circle with diameter 1 cm is π cm. The number of complete rotations made by the coin around the hexagon is equal to the number of sides of the hexagon, which is 6.

Therefore, the length of the path traced out by the center of the coin is:

π * 6 = 6π cm

So the length of the path traced out by the center of the coin after one complete rotation around the hexagon is 6π cm.

Just ask ChatGPT.

ChatGPT wrote: The circumference of the coin is pi times its diameter, or approximately 3.14 cm. To trace out one complete rotation around the hexagon, the center of the coin must travel a distance equal to 6 times the circumference of the hexagon, or 6 cm. Adding this to the circumference of the coin gives a total distance of 6 + 3.14 = 9.14 cm.

love0715 wrote: ↑ hi , wonder if someone can help on this math tutoring Q.

A coin with a diameter 1 cm rolls around the outside of a regular hexagon with a side length of 1 cm (as shown on the attached photo ).

What is the length (in cm) of the path traced out by the centre of the coin after one complete rotation around the hexagon ?


Thanks
TC

OP

You are taking a short cut, in a way it’s cheating!

This thread will be locked by MOD, just like other thread.

Thanks all!