(Diagram 1) Identical transmitters are positioned at the vertices of an equilateral triangle. The equilateral triangle has sides of length 20km and area 173km. The transmitters are placed at A, B and C, and they emit a frequency in a circular radius up to 10km.
1. The unshaded area inside the triangle represents the part of the triangle that receives no signal. Find the area of the triangle that does not receive a signal.
(Diagram 2) Identical transmitters are positioned at the vertices of a square. The square has sides of length 20km and area 400km. The transmitters are places at A,B,C and D, and they emit a frequency in a circular radius up to 10km.
2. The unshaded area inside the square represents the part of the square that receives no signal. Find the area of the square that does not receive a signal.
3. Compare the answers in parts (a) and (b). In your answer, refer to the different ways the transmitters have been positioned and propose the most suitable layout for the most efficient use of space and best signal coverage.
(please I can't do this by myself, and this is a very important part of my test paper)
