Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda za a sami radius na wani yanki da aka kewaye game da mazugi, da kuma sararin samansa da ƙarar ƙwallon da ke daure da wannan yanki.

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Nemo radius na sphere/ball

Ana iya siffanta kowa da kowa. A wasu kalmomi, ana iya rubuta mazugi a kowane fanni.

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

Don nemo radius na sphere (ball) da aka kewaye game da mazugi, muna zana sashin axial na mazugi. A sakamakon haka, muna samun triangle isosceles (a cikin yanayinmu - ABC), a kusa da shi da'irar da radius r.

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

Mazugi tushe radius (R) daidai da rabin tushe na triangle (BC), da janareto (l) - gefensa (AB и BC).

Radius na da'ira (r)kewaye da triangle ABC, a cikin wasu abubuwa, shine radius na ƙwallon da aka kewaye game da mazugi. Ana samun shi bisa ga ka'idoji masu zuwa:

1. Ta hanyar generatrix da radius na tushe na mazugi:

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

2. Ta hanyar tsawo da radius na tushe na mazugi

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

Height (h) mazugi kashi ne BE a cikin hotunan da ke sama.

Formula don yanki da ƙarar yanki/ball

Sanin radius (r) za ka iya nemo saman yankin (S) Spheres da girma (V) Sphere mai iyaka da wannan yanki:

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

Nemo radius/yanki/ƙarar wani yanki (ball) da aka kewaye game da mazugi

lura: π zagaye daidai yake da 3,14.

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