Q. 395.0( 2 Votes )

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


A. 18 cm

C. 36 cm

B. 27 cm

D. 32 cm

Answer :

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Imp. Qs. on CircleQuiz | Imp. Qs. on CircleQuiz | Imp. Qs. on Circle35 mins
Quiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on Circles32 mins
Quiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on Circles37 mins
Short Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of Triangle43 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
RD Sharma |  Area of Sector and SegmentsRD Sharma |  Area of Sector and SegmentsRD Sharma | Area of Sector and Segments25 mins
Quiz | Area Related with CirclesQuiz | Area Related with CirclesQuiz | Area Related with Circles47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses