Japan “Sangaku” Research Institute

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  • Matobeyama Shrine (1900), Kamogata-cho, Asakuchi City, Okayama Prefecture (1)

    Matobeyama Shrine is located 4 km north of Kamogata Station on the JR Sanyo Main Line. Problem As shown in the figure, when a square with a side of 17 inches has a circle with a diameter of 8 inches in the center, which is surrounded by 8 equal circles, what is the diameter of…

    April 22, 2023
  • Tamamori Shrine (1912), Katsuyama, Maniwa City, Okayama Prefecture (3)

    Problem Assuming that the area enclosed by the large and small circles in the figure is 237 square inches and the difference between the radii of the large and small circles is 3 inches, what are the diameters of the large and small circles? Note that $π=3.16$ is used in this problem. $$ $$ $$…

    April 20, 2023
  • Tamamori Shrine (1912), Katsuyama, Maniwa City, Okayama Prefecture (2)

    Problem Assuming that the area enclosed by the large and small circles in the figure is 237 square inches and the difference between the radii of the large and small circles is 5 inches, what are the diameters of the large and small circles? Note that $π=3.16$ is used in this problem. $$ $$ $$…

    April 9, 2023
  • Tamamori Shrine (1912), Katsuyama, Maniwa City, Okayama Prefecture (1)

    Tamamori Shrine is located 0.4km north of Chugoku Katsuyama Station on the JR Kishin Line. Problem When the area enclosed by the large and small circles in the figure is 395 square inches, and the difference between the radii of the large and small circles is 5 inches, what are the diameters of the large…

    April 3, 2023
  • Hiyoshi Shrine (1940), Kamogata-cho, Asakuchi City, Okayama Prefecture

    Hiyoshi Shrine is located 3.4km north of Kamogata Station on the JR Sanyo Main Line. Problem As shown in the figure, four large circles intersect at one point, and four small circles are in between. What is the diameter of the small circle when the diameter of the large circle is 3 inches? $$ $$…

    March 25, 2023
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Japan “Sangaku” Research Institute

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