SOLUTION: which has the smaller area-a circle with a diameter of 4 feet or a rectangle with a length of 5 feet and a width of 3 feet? pleeeeaaaaaaaassssssssssse help!!!!!!!!!!!!!

Question 220695: which has the smaller area-a circle with a diameter of 4 feet or a rectangle with a length of 5 feet and a width of 3 feet?
pleeeeaaaaaaaassssssssssse help!!!!!!!!!!!!!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's find the two areas:

Area of the Circle:

Take note that the radius is units (ie divide the diameter in half to get the radius)

Solved by pluggable solver: Find the Area of a Circle

Start with the area of a circle formula.

Plug in .

Replace with (since is approximately 3.14159...).

Square to get .

Multiply and to get .

So the area of the circle with a radius of units is roughly square units.

Area of the Rectangle:

Solved by pluggable solver: Find the Area of a Rectangle

Recall that the area of any rectangle with length L and width W is simply . In other words, to find the area, just multiply the length by the width.

Start with the given area formula.

Plug in and

Multiply and to get (click here if you need a calculator).

So the area of a rectangle with the length of 5 units and the width of 3 units is 15 square units.

From above, we see that the area of the circle is about 12.566 square units while the area of the rectangle is 15 square units. So the circle has the smaller area.
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