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Advent calendar 2017
Sunday afternoon maths LXII
What's the star?
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Most recent collections
Advent calendar 2017
Sunday afternoon maths LXII
What's the star?
Sunday afternoon maths LXI
XYZ
Sunday afternoon maths LX
Where is Evariste?
Bending a straw
List of all puzzles
Tags
time
geometry
2d shapes
3d shapes
numbers
spheres
trigonometry
complex numbers
algebra
lines
graphs
coordinates
odd numbers
fractions
differentiation
calculus
folding tube maps
ellipses
triangle numbers
money
bases
triangles
squares
area
square numbers
chess
probability
circles
averages
speed
sport
multiples
dates
factors
parabolas
functions
logic
cards
games
people maths
shape
prime numbers
irreducible numbers
probabilty
angles
proportion
dice
integration
sum to infinity
dodecagons
hexagons
multiplication
factorials
coins
shapes
regular shapes
colouring
grids
floors
integers
rugby
crosswords
percentages
digits
sums
christmas
rectangles
clocks
menace
routes
taxicab geometry
remainders
chalkdust crossnumber
palindromes
sequences
means
unit fractions
division
square roots
surds
doubling
quadratics
indices
planes
volume
number
partitions
ave
pascal's triangle
mean
advent
symmetry
arrows
addition
cube numbers
star numbers
perfect numbers
Showing puzzles tagged "rectangles".
Show all puzzles.
1 December
All 2015 advent puzzles
~
More information
What is area of the largest area rectangle which will fit in a circle of radius 10?
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The largest rectangle will be a square. 20 (double the radius) will be the length of its diagonal. By Pythagoras' Theorem, the sides of the square are \(10\sqrt{2}\). Therefore the area of the square is 200.
Tags:
circles
,
rectangles
,
2d shapes
,
geometry
End of puzzles.
© Matthew Scroggs 2018
