Mathematics
Answer
From A, AP and AQ are the tangents to the circle.
∴ AP = AQ = 5 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From C, CR and CS are the tangents to the circle.
∴ CS = CR = 3 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
BS = BC - CS = 7 - 3 = 4 cm.
From B, BS and BP are the tangents to the circle.
∴ BP = BS = 4 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
x = BP + AP = 4 + 5 = 9 cm.
Hence, the value of x = 9 cm.
Related Questions
Two circles of radii 5 cm and 2.8 cm touch each other. Find the distance between their centres if they touch
(i) Externally
(ii) Internally
In figure (i) given below, triangle ABC 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.
In figure (i) given below, quadrilateral ABCD is circumscribed ; find the perimeter of quadrilateral ABCD.
