CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The perimeter of the given quadrilateral ABCD circumscribing a circle is 

  1. 32 cm
  2. 62 cm
  3. 48 cm


Solution

The correct option is B 62 cm
Let us assume BQ=x cm
Now, AQ=ABBQ=(15x) cm

By Theorem- Tangents drawn from an external point to the circle are equal in lengths.
DS=DP=4 cm,
CS=CR=12 cm
BR=BQ=x cm, and
AP=AQ=(15x) cm

Now, perimeter of a quadrilateral ABCD=AB+BC+CD+AD=AB+(BR+CR)+(CS+DS)+(AP+DP)=15+(x+12)+(12+4)+((15x)+4)=15+12+12+4+15+4=62 cm

Perimeter of a quadrilateral ABCD=62 cm



 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image