Geometry and Measurement : Measurement

Video Game Competition

The “eSport event” group is organizing a video game tournament. ​Players will be placed in a circle around the circumference of the room, with spectators in the centre on swivel seats.

The room is round. Near the line that defines the circle, there is a dotted line that marks the inner circumference of the circle. Under each dot of the dotted line, there is a dark blue dot. In the center of the circle, there is a square with the letter « A ». Orange dots are arranged in four groups, each of which is identical to the others. In each group, there are: 5 rows of dots. The number of dots per row is: 3 dots, 4 dots, 5 dots, 6 dots, 7 dots. A legend accompanies the figure. The dark blue dots and the dash represent the screen and player. The orange dots represent the spectators. The central square with the « A » represents the host. Additionally, there is an area for the equipment, the technical team, and the organizing committee members.

Here are some factors to consider when choosing the venue.

Participants

• The organizing committee aims to host between 30 and 50 participants.
• Approximately 4 feet should be allocated between each participant.
• Each participant must pay a registration fee of $200.
• A total of $5,000 will be awarded as prizes to the top three players who stand out the most.

Spectators

• The seats for spectators occupy a circular space with a diameter of 2.5 feet.
• The cost of tickets for seats in the two rows closest to the players is $20.
• The cost of tickets for other seats is $15.

Dimensions and Costs of Available Rooms

1. Which venue would you recommend to organizers?
2. How many spectators could there be?
3. What profits can organizers anticipate?