Question

Q2. A metre scale is placed diagonally on the top of a square table. The two opposite corners read 1.7 and 8.3 on the scale. What is the length of the table ?
give right answer....

Answer 1

Answer:

Here a=8cm

⇒ Area of square =a

2

=(8)

2

=64cm

2

⇒ Here radius of circle R=4.2cm

⇒ Area of of circle =πR

2

=

7

22

×(4.2)

2

∴ Area of of circle =55.44cm

2

⇒ Radius of sector r=1.4cm and θ=90

o

⇒ Area of 2 sectors =2×

360

o

θ

πr

2

⇒ Area of 2 sectors =2×

360

o

90

o

×

7

22

×(1.4)

2

∴ Area of 2 sectors =3.08cm

2

⇒ Area of shaded region = Area of square - ( Area of circle +Area of 2 sectors)

⇒ Area of shaded region =64−(55.44+3.08)

∴ Area of shaded region =64−58.52=5.48cm

2