Question

Calculate the cost of the window below using the table. Each pane is priced

separately. The panes are square or circular.

Answer 1

$140(each square),$140(semi sphere),$140(each quarter ring)

Total=$980

Explanation:

Given

• 4 squares of side 20 in
• 1 semi circle of radius 10 in(half of side of square as seen in figure)
• 2 quarter rings of thickness 10 and inner radius 10 and outer radius 20

Each square are
`=side^(2) =20^(2) =400\\`

Therefore each square costs=$140

⇒Total cost for squares=
`=4* 140=560`

Area of semi circle
`=(pie)* radius^(2)=(pie)* 10^(2) =314.2..`

⇒Cost for semi-circle= $140

Area of each quarter ring
`=(((pie)* outer^(2))-((pie)* inner^(2)))/(2) =((pie)* (20^(2)-10^(2)))/(2) =((pie)* 300)/(2) =471.23..`

⇒Cost of each quarter-circle= $140

⇒Cost of both quarter-circle= $140+$140=$280

Therefore total cost for window=$280+$140+$560=$980