RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 39 of Multiple Choice Questions (MCQ)

Listen NCERT Audio Books - Kitabein Ab Bolengi

39

In the given figure, quad. ABCD is circumscribed, touching the circle at P, Q, R and S. If AP = 6 cm, BP = 5 cm, CQ = 3 cm and DR = 4 cm then perimeter of quad. ABCD is

As we know Tangents drawn from an external point are equal]


In the given Figure, we have


AP = AS = 6 cm [AP = 6 cm is given]


[ Tangents from point A]


BP = BQ = 5 cm [BP = 5 cm is given]


[ Tangents from point B]


CR = CQ = 3 cm [CQ = 3 cm is given]


[ Tangents from point C]


DR = DS = 4 cm ][DR = 4 cm is given]


[ Tangents from point D]


Now,


Perimeter of ABCD = AB + BC + CA + DA


= AP + BP + BQ + CQ + CR + DR + DS + AS


= 6 + 5 + 5 + 3 + 3 + 4 + 4 + 6 = 36 cm

39

Chapter Exercises

More Exercise Questions