Question

Find the area of the shaded region

Answer 1

we are given

three shapes

first is rectangle

second is circle

third is triangle

we can find area of each shapes and then subtract them accordingly to find shaded area

Area of rectangle:

length=l=18

width=w=6

we know that

area = length*width

`Area=18*6`

`Area=108`

Area of semicircle:

we are given

radius =r=6/2=3

now, we can find area

`Area=(1)/(2) \pi r^2`

`Area=(1)/(2) \pi 3^2`

`Area=(9)/(2) \pi`

Area of triangle:

base=b=9

height=h=6

now, we can find area

`Area=(1)/(2) *b*h`

`Area=(1)/(2) *9*6`

`Area=27`

Area of shaded region:

Area = rectangle -triangle -2*semicircle

so, we get

`Area=108-27-2*(9)/(2) \pi`

we get

`Area=52.72567`

so, option-B..........Answer