Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Ushbu nashrda oddiy piramidaga chizilgan sharning (sharning) radiusini topish uchun ishlatilishi mumkin bo'lgan formulalar keltirilgan: uchburchak, to'rtburchak, olti burchakli va tetraedr.

Tarkib

To'p (shar) radiusini hisoblash uchun formulalar

Quyidagi ma'lumotlar faqat uchun amal qiladi. Radiusni topish formulasi raqam turiga bog'liq, eng keng tarqalgan variantlarni ko'rib chiqing.

Oddiy uchburchak piramida

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Rasmda:

  • a – piramida asosining cheti, ya’ni ular teng segmentlardir AB, AC и BC;
  • DE - piramidaning balandligi (h).

Agar bu miqdorlarning qiymatlari ma'lum bo'lsa, radiusni toping (r) Yozilgan shar/shar quyidagi formula bilan berilishi mumkin:

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Oddiy uchburchak piramidaning alohida holati to'g'ri. Uning uchun radiusni topish formulasi quyidagicha:

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Oddiy to'rtburchak piramida

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Rasmda:

  • a - piramida poydevorining cheti, ya'ni AB, BC, CD и AD;
  • EF - piramidaning balandligi (h).

radius (r) Yozilgan to'p/sfera quyidagicha hisoblanadi:

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Oddiy olti burchakli piramida

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

Rasmda:

  • a - piramida poydevorining cheti, ya'ni AB, BC, CD, DE, EF, OF;
  • GL - piramidaning balandligi (h).

radius (r) Yozilgan to'p/sfera quyidagi formula bo'yicha hisoblanadi:

Muntazam piramidaga chizilgan sharning (sharning) radiusini topish

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