Question

how do i answer this question

Answer 1

we have to find the perimeter of shaded region so,

P for perimeter and A for area

Perimeter(shaded region)= [P(pts)-P(qes)] + P(pbq)

 =[(pi*6)-(pi*4)]+(pi*2)   {.: Perimeter of semicircle is (2pi*r)/2}

 =[(3.14*6)-(3.14*4)+(3.14*2)]

 =[18.84-12.56]+6.28

  =12.56 cm

Area(shaded region) = [A(pts)-A(qes)]+A(pbq)

  ={ [(pi*r^2)/2-(pi*r^2)/2] +(pi*r^2)/2 }   {.: Area of semicircle is (pi*r^2)/2}

  =[(3.14*(6)^2)/2- (3.14*(4)^2])/2 + (3.14*(2)^2)/2

  = 113.04/2-20.24/2+12.56/2

 =37.68 cm^2