بین رخ زاویہ is a formal Urdu term for the included angle. The word بین (bain) is an Arabic preposition meaning "between". It is used in compounds like "بین الممالک" (bain al mumalik, between countries, international), "بین المذاہب" (bain al mazahib, interfaith), and "بین الاقوامی" (bain al aqwami, international). رخ (rukh) is a Persian word meaning side, direction, or face. It is used in "رخ بدلنا" (rukh badalna, to change direction) and "یک رخ" (yak rukh, unilateral). زاویہ (zavia) is from the Arabic "زاوية" (zawiyah), meaning angle, corner, or nook. In geometry, an angle is formed by two rays (lines) that share a common endpoint (vertex). The "included angle" is the angle between two given sides. In a triangle, if you know two sides and the included angle, you can use the law of cosines (قانون جیب التمام, qanoon e jaib al tamam) to find the third side. In construction, the بین رخ زاویہ between two beams must be calculated for stability. In trigonometry, the بین رخ زاویہ is a key parameter. The phrase appears in Urdu mathematics textbooks, in engineering manuals, in exam papers, and in architectural plans. For example, "مثلث کے دو اضلاع کے درمیان بین رخ زاویہ 60 درجے ہے" (the included angle between two sides of the triangle is 60 degrees). It is a formal, technical term.
Correct Spelling & Pronunciation:
بین رخ زاویہ
ب پر زبر ( َ ) ہے (بَ)۔
ی زیر ہے (یِ)۔
ن ساکن ہے (ن)۔
ر پر زبر ( َ ) ہے (رَ)۔
خ ساکن ہے (خ)۔
ز پر زبر ( َ ) ہے (زَ)۔
ا مد ہے (ا)۔
و مد ہے (و)۔
ی زیر ہے (یِ)۔
ہ ساکن ہے (ہ)۔
تلفظ: Bain rukh za wi yaa. The first word بین has one syllable: bain. The second word رخ has one syllable: rukh. The third word زاویہ has three syllables: za, wi, yaa, with the stress on the first syllable "za". The "خ" in رخ is a voiceless velar fricative. In natural speech, the phrase flows as "bain rukh zavia" with the stress on "bain", "rukh", and "za". The final "ہ" in زاویہ is a short "a" sound.
Synonyms (Urdu): داخلی زاویہ (dakhli zavia, interior angle), محصور زاویہ (mahsoor zavia, enclosed angle), ما بین زاویہ (ma bain zavia, between angle), اندرونی زاویہ (androoni zavia, inner angle), ضمیمہ زاویہ (zameemah zavia, adjacent angle? slightly different), متصل زاویہ (mutasil zavia, adjacent angle), باہمی زاویہ (bahami zavia, mutual angle)
Synonyms (English): Included angle, interior angle (for polygons), internal angle, enclosed angle, angle between two sides, inscribed angle (for circles, different), angle subtended (different), vertex angle (for isosceles triangles)
Antonyms (Urdu): خارجی زاویہ (kharji zavia, exterior angle), بیرونی زاویہ (beroni zavia, external angle), غیر محصور زاویہ (ghair mahsoor zavia, non enclosed angle), قائمہ زاویہ (qaemah zavia, right angle, not opposite but different), منفرج زاویہ (munfaraj zavia, obtuse angle, different), حادہ زاویہ (haadah zavia, acute angle, different)
Antonyms (English): Exterior angle, external angle, outer angle, supplementary angle (different, adds to 180), complementary angle (different, adds to