The midpoint (center) of the incircle is I. R is the midpoint of the red segment and G is the midpoint of the green segment. Show the RIG makes a line.
Categories
Middle journey
Month: August 2024
Categories
Tip of tipi
A regular hexagon is divided in four triangles and one quadrilateral. Express the hexagon area in terms of areas A, B and C.
Categories
The Dutch roll
Two regular hexagons share a vertex. What is the angle α?
Categories
Criss cross chords
The blue unit circle has a diameter and several colored chords. The red chord bisects the angle between the green chords. Express the sum of the green chords in terms of the red and purple chords.
Categories
Ragged mountain II
A square is divided in two regions. What fraction is grey?
Categories
Pentagon pleasure II
A regular pentagon and its circumcircle. What is blue : orange?
Categories
Circular cuts
The blue parallelogram’s vertex C lies on a green circle that intersects the diagonal BC at J. What is the length of the red segment?
Categories
Centre stage
A square with its centre and a right angle. What’s ad-bc?
Categories
The helmet visor
A quarter circle and a semicircle with several line segments, one of which is tangent to the semicircle. What is the area proportion semicircle : quarter circle?
Categories
Balancing rock
Is the blue area greater than, equal to, or less than the purple area? (Hint: the difference, if there is one, would be very small.) (Assume the horizontal lines are equidistant.)