Question

CD is a rectangle of length 20 cm and breadth 10 cm. OAPB is a seco
of a circle of radius 10/7 cm. Calculate the area of the shaded repon
Take n-3141
20 cm
D
10 cm
P
B
A
10V2 cm​

Answer 1

Answer:

Step-by-step explanation:

Given that ABCD is an rectangle of length =20 cm

Breadth = 10 cm

Area of rectangle = l x b = 20 x 10 = 200 cm²

Here  ∠AOB = 90°

OAEB is an sector of radius OA = OB = 10√2

Area of sector = (1/2) r2 θ

= (1/2) x 10√2 x10√2x π/2.= 157.1428 cm²

area of OAB = (1/2) x 10√2 x10√2 = 100 cm²

area of shaded region =  area of rectangle ABCD -[ Area of sector - area of OAB ]

= 200 -[ 157.1428 - 100]

= 200 - 57.1428

= 142.8572 cm²