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The larger circle has diameter = 4, therefore the radius is 2, and the area is π x 2^{2} = 4π.

The smaller circle has diameter = 2, therefore the radius is 1, and the area is π x 1^{2} = π.

Therefore the shaded area is 4π - π = 3π ≈ 9.42.

Circle

The area of a circle is π x Radius^{2}.

The circle with diameter 3.1 has a radius of 1.55 and an area of π x 1.55^{2} = 7.55.

The circle with diameter 3.5 has a radius of 1.75 and an area of π x 1.75^{2} = 9.62 (** closest match).

The circle with diameter 3.9 has a radius of 1.95 and an area of π x 1.95^{2} = 11.95.

Square

The area of a square is Side x Side.

The square with side 3.1 has an area of 3.1 x 3.1 = 9.61 (** closest match).

The square with side 3.5 has an area of 3.5 x 3.5 = 12.25.

The square with side 3.9 has an area of 3.9 x 3.9 = 15.21.

Triangle

The area of a triangle is ½ x Base x Height. Using Pythagoras' theorem it can be shown that the area of an equilateral triangle is Sqrt(3) x Base^{2} ÷ 4.

The triangle with side 3.9 has an area of Sqrt(3) x 3.9 x 3.9 ÷ 4 = 6.59.

The triangle with side 4.3 has an area of Sqrt(3) x 4.3 x 4.3 ÷ 4 = 8.01.

The triangle with side 4.7 has an area of Sqrt(3) x 4.7 x 4.7 ÷ 4 = 9.57 (** closest match).

Puzzle 46

Can you create a sentence that contains the word 'and' five times in a row?

Note: with no other word between each 'and'.

[Ref: ZDBT]

Hint: Quite a tricky little puzzle!

Answer:
I commissioned an artist to paint a sign for BrainBashers that said "BrainBashers Games And Fun", however, they made a terrible mistake.

The gap between 'Games' and 'And', and 'And' and 'Fun' wasn't the same, so the sign seemed oddly out of balance.

Puzzle 47

Adrian, Betty, Ceiren and Darren are all trapped on an island in the middle of a crocodile infested lake.

Luckily they have one crocodile repelling stick that just about protects up to two swimmers.

To get to safety a maximum of two swimmers can be in the water at any one time and they have to be together to benefit from the stick, and must swim at the pace of the slower swimmer.

The shore is 50 metres away and they can not throw the stick back, someone has to swim back with the stick until all four are safely on the shore.

Adrian can swim the distance in 3 minutes
Betty can swim the distance in 7 minutes
Ceiren can swim the distance in 13 minutes
Darren can swim the distance in 17 minutes

How long does the overall rescue take - the answer is not 43 minutes!

[Ref: ZFKO]

Hint: Adrian and Betty swim first.

Answer:

Adrian and Betty swim to shore 7 minutes
Adrian returns 3 minutes
Ceiren and Darren swim to shore 17 minutes
Betty returns 7 minutes
Adrian and Betty swim to shore 7 minutes

Total 41 minutes.

Puzzle 48

What is represented by this BrainBat?

E E
Y
E E
D D

[Ref: ZVEQ] Copyrighted.

Hint: Say what you see.

Answer: Cross eyed.

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