Question

A C
7. From an external point P, tangents
PA and PB are drawn to a circle with
centre 0. If CD is the tangent to the
circle at a point E and PA = 14 cm, find
the perimeter of APCD.
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Answer 1

Answers

★ CIRCLES ★

Given : PA and PB are tangent to the circle with centre  O.

CD is a tangent to the circle at E which intersects PA and PB in C and D respectively and PA = 12 cm.

Lengths of tangents drawn from as external point to a circle are equal.

∴ PA = PB = 12 cm

CA = CE

DB = DE

Now perimeter of ΔPCD = PC + CD + PD

= PC + (CE + ED) + PD

= PC + (CA + DB) + PD

= (PC + CA) + (DB + PD)

= PA + PB

= 12 cm + 12 cm

= 24 cm.