PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 c

1.	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 ar(△RAS).
Answer» PQRS is a rectangle with PS = 5 cm and PR = 13 cm (Given) In △PSR: Using Pythagoras theorem, SR² = PR² – PS² = (13)² – (5)² = 169 – 25 = 114 or SR = 12 Now, Area of △RAS = 1/2 x SR x PS = 1/2 x 12 x 5 = 30 Therefore, Area of △RAS is 30 cm².

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 ar(△RAS).

Answer»

PQRS is a rectangle with PS = 5 cm and PR = 13 cm (Given)

In △PSR:

Using Pythagoras theorem,

SR² = PR² – PS²

= (13)² – (5)²

= 169 – 25

= 114

or SR = 12

Now, Area of △RAS = 1/2 x SR x PS

= 1/2 x 12 x 5

= 30

Therefore, Area of △RAS is 30 cm².