Q5 of 77 Page 16

PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm. A is any point on PQ. If PS = 5 cm, then find

Given that,

PQRS is a rectangle


PS = 5 cm


PR = 13 cm


In triangle PSR, by using Pythagoras theorem


SR2 = PR2 – PS2


SR2 = (13)2 – (5)2


SR2 = 169 – 25


SR2 = 114


SR = 12 cm


We have to find the area ,


Area ( = * Base * Height


= * SR * PS


= * 12 * 5


= 30 cm2


Hence, Area ( is 30 cm2


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