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Rectangle, square and semicircle. Express yellow area in terms of a.
#geometrypuzzle

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Semicircle and Rectangle. What is the red angle?
#geometrypuzzle

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#geometrypuzzle

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An arrangement of seven squares. Six of the squares are identical and are arranged so that reading from left to right they form three stacks that abut and are of heights 2,3,1, with each base square aligned with the second square in the stack to its left.

A tilted larger square overlays the six and shares a vertex with the lower right vertex of the bottom-most square. The top left vertex of the uppermost of the six squares lies on an edge of the larger square.

A line is drawn from the left-hand vertex of the larger square to the lower right vertex of the rightmost small square.

The angle formed by this line and the left-hand edge of the larger square is marked with a question mark.

An arrangement of seven squares. Six of the squares are identical and are arranged so that reading from left to right they form three stacks that abut and are of heights 2,3,1, with each base square aligned with the second square in the stack to its left. A tilted larger square overlays the six and shares a vertex with the lower right vertex of the bottom-most square. The top left vertex of the uppermost of the six squares lies on an edge of the larger square. A line is drawn from the left-hand vertex of the larger square to the lower right vertex of the rightmost small square. The angle formed by this line and the left-hand edge of the larger square is marked with a question mark.

notes.mathforge.org/notes/publis...

#geometrypuzzle #UKMathsChat #mathsky

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There are six small pink squares, and a larger tilted purple square which shares ones vertex with the bottom pink square. One vertex of the top pink square lies on the top edge of the purple square. A line from the bottom right vertex of the rightmost pink square makes an unknown angle with the left side of the purple square.

There are six small pink squares, and a larger tilted purple square which shares ones vertex with the bottom pink square. One vertex of the top pink square lies on the top edge of the purple square. A line from the bottom right vertex of the rightmost pink square makes an unknown angle with the left side of the purple square.

Seven squares. What’s the angle?
#geometrypuzzle

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And added to the list ...

notes.mathforge.org/notes/publis...

#geometrypuzzle #mathsky #UKMathsChat #MathsToday

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Six different coloured squares. Five are inside the quarter circle, and the sixth has two vertices on its circumference. The yellow square is the one on the bottom right.

Six different coloured squares. Five are inside the quarter circle, and the sixth has two vertices on its circumference. The yellow square is the one on the bottom right.

Six squares and a quarter circle. The blue square has area 2. What’s the yellow area?

#geometrypuzzle

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Well, that's my weekend sorted!

#geometrypuzzle #mathsky #UKMathsChat

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A rectangle with one diagonal drawn in. A regular hexagon sits on the left below the diagonal, with one side vertical against the side of the rectangle, one sloping side lying along the diagonal, and a vertex touching the base of the rectangle. A second regular hexagon sits above the diagonal on the right so that the design has rotational symmetry. Everything inside the rectangle but outside the hexagons is shaded blue.

A rectangle with one diagonal drawn in. A regular hexagon sits on the left below the diagonal, with one side vertical against the side of the rectangle, one sloping side lying along the diagonal, and a vertex touching the base of the rectangle. A second regular hexagon sits above the diagonal on the right so that the design has rotational symmetry. Everything inside the rectangle but outside the hexagons is shaded blue.

Two regular hexagons inside a rectangle. What fraction of the rectangle is shaded?

I found this #geometrypuzzle in my sketchbook - I drew it last June, but I’m pretty sure I never got round to posting it. Better late than never!

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❤️ Love this ❤️

@mathforge.org has done what I’ve never been organised enough to do myself, and catalogued every #geometrypuzzle I’ve ever posted on social media. It looks amazing!

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Three partially shaded congruent rectangles, with unshaded triangles connecting some of the corners.

Three partially shaded congruent rectangles, with unshaded triangles connecting some of the corners.

The three rectangles are congruent. What fraction of the design is shaded?

#geometrypuzzle

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Red, pink and orange quarter circles meet at a point inside a white quarter circle. The red one’s area is 12. What’s the area of the orange one?

Red, pink and orange quarter circles meet at a point inside a white quarter circle. The red one’s area is 12. What’s the area of the orange one?

Four quarter circles. What’s the area of the orange one?

#geometrypuzzle

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A blue triangle on top of a purple one, inside a semicircle. The side length of the purple triangle is 4.

A blue triangle on top of a purple one, inside a semicircle. The side length of the purple triangle is 4.

These triangles are congruent and isosceles. What’s the area of the semicircle?

#geometrypuzzle

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Two squares, a semicircle and a rectangle make the following figure. The red square touch the semicircle. Prove that, Red square area is equal to the total area of yellow square and blue rectangle.
#geometrypuzzle

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Ordered! Did not realise this was a thing, @catrionaagg.bsky.social!

#MathsToday #GeometryPuzzle

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A square and a semicircle make the following figure. What is the red angle?
#geometrypuzzle

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All shapes are squares. The percentage of shaded area.
#geometrypuzzle

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Two squares and a semicircle. The length of extended side of small square is 2. Find out the blue area.
#geometrypuzzle

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Two yellow squares both with area 9, an unshaded square, and a blue square whose area is to be found.

Two yellow squares both with area 9, an unshaded square, and a blue square whose area is to be found.

Four squares. What’s the blue square’s area?

#geometrypuzzle

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Just solved one of @catrionaagg.bsky.social 's puzzles using trigonometry! Double-angle and all.

Quite the rarity.

(I did afterwards figure out a non-trig solution, but only after seeing the trig one.)

#geometrypuzzle #mathsky

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Two rectangles and a square. The length of long side of the red rectangle is 4. What is the total colored area?
#geometrypuzzle

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If you’re a #geometrypuzzle fan, it’s definitely worth following @ronysarker71.bsky.social

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#geometrypuzzle

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If @catrionaagg.bsky.social 's going to start making puzzles again then we'd better have a feed for them.

bsky.app/profile/did:...

#geometrypuzzle #mathsky #UKMathsChat #ITeachMath

(Hope I've made it right ... let me know if not!)

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Visit the stunning work of WoodOmetry in booth #200. you can find Geometric Puzzles, Wall Art, Coaster Sets and even more unique woodwork art.

#eugenesaturdaymarket #shoplocal #smallbusiness #woodwork #woodart #puzzles #geometrypuzzle #wooddecoration #coasters #wallart #handmade

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A big green square and three little white ones. A pink line joins the corner of one the white squares to a corner of the green one.

A big green square and three little white ones. A pink line joins the corner of one the white squares to a corner of the green one.

Four squares. What’s the angle?

#geometrypuzzle

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Drawing a line in a @catrionaagg.bsky.social puzzle that makes it obvious: priceless.

For everything else, there's mastercard.

#geometrypuzzle

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TFW you find not one but *two* solutions to one of @catrionaagg.bsky.social 's puzzles. And the second one is "better", but you wouldn't have found it without the first.

#IYKYK #geometrypuzzle

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Three colourful overlapping hexagons, and a semicircle that goes through their shared vertices.

Three colourful overlapping hexagons, and a semicircle that goes through their shared vertices.

Three regular hexagons. What’s the diameter of the semicircle?
#geometrypuzzle

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A design made of four quarter circles, which is partially coloured pink.

A design made of four quarter circles, which is partially coloured pink.

Four quarter circles. What fraction is shaded?
#geometrypuzzle

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