Triangle: 47. Doughnut
The area of a circle is π x Radius2.
The larger circle has diameter = 40, therefore, the radius is 20, and the area is π x 202 = 400π.
The smaller circle has diameter = 20, therefore, the radius is 10, and the area is π x 102 = 100π.
Therefore, the shaded area is 400π − 100π = 300π ≈ 942. Circle
The area of a circle is π x Radius2.
The circle with diameter 31 has a radius of 15.5 and an area of π x 15.52 ≈ 755.
The circle with diameter 35 has a radius of 17.5 and an area of π x 17.52 ≈ 962 (closest match).
The circle with diameter 39 has a radius of 19.5 and an area of π x 19.52 ≈ 1195. Square
The area of a square is Side x Side.
The square with side 31 has an area of 31 x 31 = 961 (closest match).
The square with side 35 has an area of 35 x 35 = 1225.
The square with side 39 has an area of 39 x 39 = 1521. Triangle
The area of a triangle is 1/2 x Base x Height. Using Pythagoras' theorem, it can be shown that the area of an equilateral triangle is √3 x Base2 ÷ 4.
The triangle with side 39 has an area of √3 x 39 x 39 ÷ 4 ≈ 659.
The triangle with side 43 has an area of √3 x 43 x 43 ÷ 4 ≈ 801.
The triangle with side 47 has an area of √3 x 47 x 47 ÷ 4 ≈ 957 (closest match).
Five people were all taking a vacation in Shriekville, unfortunately, all of their vacations were cut short by a terrifying encounter with a resident ghost.
Can you determine the type of accommodation, its name, and the name of the resident ghost?
Archibald stayed at St George's, he was not frightened off by Macabre Malcolm. The public house was the home of Chilling Charlie, who frequently turned down the thermostat and then let out gruesome shrieks, chilling everyone to the bone. Lucas or Archibald's vacation was at the castle. Was Terrifying Tony the resident ghost there? Charlie went to stay with friends, this was in a bungalow, but it did not have the name Briar Hill. He was not terrified by Bloodcurdling Brian, the ghost that left bloodstained footprints behind. Billy vacationed at a place named Rosedale, which was not a hotel. Creepy Craig really did scare Gary, as he was settling down to sleep, by scraping his fingernails on the bedroom window, this was not at a hotel, and it wasn't a place named Avalon. The bed and breakfast accommodation was not High Lodge, which was also not the castle where Macabre Malcolm was resident.
