Mathematics
Answer
From figure, AP and AQ are the tangents to the circle.
∴ AQ = AP = 4 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure, BP and BR are the tangents to the circle.
∴ BR = BP = 6 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
CQ = CA - AQ = 12 - 4 = 8 cm.
From figure, CQ and CR are the tangents to the circle.
∴ CR = CQ = 8 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
x = BR + CR = 6 + 8 = 14 cm.
Hence, the value of x = 14 cm.
Related Questions
In figure (ii) given below, quadrilateral ABCD is circumscribed, find x.
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
Two concentric circles are of radii 13 cm and 5 cm. Find the length of the chord of the outer circle which touches the inner circle.
In figure (i) given below, quadrilateral ABCD is circumscribed ; find the perimeter of quadrilateral ABCD.
