Mathematics
In figure (i) given below, quadrilateral ABCD is circumscribed ; find the perimeter of quadrilateral ABCD.
Circles
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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.
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