Find the area of the shaded region in the given figure, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC = 40° - Mathematics

Find the area of the shaded region in the given figure, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC = 40° [Use Π = 22/7]

Solution

]

Radius of inner circle = 7 cm

Radius of outer circle = 14 cm

Area of shaded region = Area of sector OAFC − Area of sector OBED

= 40^@/360^@ xx pi(14)^2 - 40^@/360^@ xx pi(7)^2

= 1/9xx22/7xx14xx14-1/9xx22/7xx7xx7

= 616/9-154/9=462/9

= 154/3 cm^2

Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 12 Areas Related to Circles
Exercise 12.3 | Q 2 | Page 235