Question

This is the full question if you can please solve this it’s really important.

A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.

Answer 1

`\huge\boxed{\sf 11.74\ in.\²}`

Explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

`\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2`

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

`\rule[225]{225}{2}`

Hope this helped!

~AH1807