Mathematics
In figure (i) given below, quadrilateral ABCD is circumscribed ; find the perimeter of quadrilateral ABCD.
![In figure (i) given below, quadrilateral ABCD is circumscribed ; find the perimeter of quadrilateral ABCD. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/mla10/q7a-c15-3-circles-ml-aggarwal-solutions-icse-class-10-873x1076.png)
Circles
ICSE
4 Likes
Answer
From A, AP and AS are the tangents to the circle.
∴ AS = AP = 6 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From B, BP and BQ are the tangents to the circle.
∴ BQ = BP = 5 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From C, CQ and CR are the tangents to the circle.
∴ CR = CQ = 3 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From D, DS and DR are the tangents to the circle.
∴ DS = DR = 4 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
Therefore, perimeter of the quadrilateral ABCD
Hence, the perimeter of ABCD = 36 cm.
Answered By
4 Likes
Related Questions
In figure (i) given below, triangle ABC is circumscribed, find x.
In figure (i) given below, O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm, find the radius of the circle.
In figure (ii) given below, quadrilateral ABCD is circumscribed, find x.
In figure (ii) given below, quadrilateral ABCD is circumscribed and AD ⊥ DC; find x if radius of incircle is 10 cm.