nbonyoma1205
nbonyoma1205 nbonyoma1205
  • 20-01-2022
  • Mathematics
contestada

Find the area of the shaded region. Show all of your work.
3 in
6 in
9 in
12 in
18 in

Find the area of the shaded region Show all of your work 3 in 6 in 9 in 12 in 18 in class=

Respuesta :

bignastyjack
bignastyjack bignastyjack
  • 20-01-2022

Answer:

The answer in 2 decimal places is 335.01 square inches

Step-by-step explanation:

From the problem, the figure has 3 circles inside the rectangle.

The shaded area is the area of the rectangle minus the areas of the 3 circles.

The rectangle has a dimension of 18 in by 30 in.

The circles have radii of 6 in, 9 in and 12 in.

Calculate the areas :

For rectangle :

A=l x w

A=30 x 18=540[tex]in^{2} [/tex]

For Circles :

[tex]A=\frac{\pi D^{2} }{4} [/tex]

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