48:

48) In the following figure, three semicircles are given. If OA=OB=2 cm, then the area of the whole figure = ________ cm².

$(A) 12 π (B) 8 π (C) 10 π (D) 3 π$

Question

48:

48) In the following figure, three semicircles are given If OA=OB=2
cm, then the area of the whole figure = ________ cm2

( A )   12 π            
                 
      ( B )     8 π   ( C )  
  10 π              
                  ( D
)     3 π

Sanjari Kalantri · Accepted Answer

Dear Student,

We have: OA = OB = 2 cm = radius of larger semicircle = diameter of smaller semicirclesSo, OC = OD = 1 cm = radius of smaller semicirclesArea of the two small semicircles of radius 1 cm = 2πr22 = π12 = π cm2Area of the larger semicircle of radius 2 cm = πr22 = π222 = 2π cm2So, total area = 2π + π = 3π cm2

48: 48) In the following figure, three semicircles are given. If OA=OB=2 cm, then the area of the whole figure = ________ cm2. ( A ) 12 π ( B ) 8 π ( C ) 10 π ( D ) 3 π

48:

48) In the following figure, three semicircles are given. If OA=OB=2 cm, then the area of the whole figure = ________ cm².

$(A) 12 π (B) 8 π (C) 10 π (D) 3 π$