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- Escribed Circle of Triangle - Practice Questions & MCQ
Quick Facts
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3 Questions around this concept.
Solve by difficulty
EASYIn a triangle with sides ( which are the ex-radii) then:
Concepts Covered - 1
Escribed Circle of Triangle
The circle which touches the side BC and two sides AB and AC produced of triangle ABC is called the escribed circle opposite to the angle A. Its radius is denoted by r1. Similarly, r2 and r3 denote the radii of the escribed circles opposite to the angles B and C respectively.
Formulae for $r_1, r_2$ and $r_3$
1. $r_1=\frac{\Delta}{s-a}, r_2=\frac{\Delta}{s-b}, r_3=\frac{\Delta}{s-c}$
2. $r_1=s \tan \frac{A}{2}, r_2=s \tan \frac{B}{2}, r_3=s \tan \frac{C}{2}$
3. $r_1=4 R \sin \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}$
$r_2=4 R \cos \frac{A}{2} \sin \frac{B}{2} \cos \frac{C}{2}$
$r_3=4 R \cos \frac{A}{2} \cos \frac{B}{2} \sin \frac{C}{2}$
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Books
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Escribed Circle of Triangle
Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry
Page No. : 5.29
Line : 45
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