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!!!!!!!!!!!!!

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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) About Me  (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 r=d%2F2=4%2F2=2 units (ie divide the diameter in half to get the radius)

Solved by pluggable solver: Find the Area of a Circle


A=pi%2Ar%5E2 Start with the area of a circle formula.



A=pi%2A%282%29%5E2 Plug in r=2.



A=3.14159%2A%282%29%5E2 Replace pi with 3.14159 (since pi is approximately 3.14159...).



A=3.14159%2A%284%29 Square 2 to get 4.



A=12.56636 Multiply 3.14159 and 4 to get 12.56636.



So the area of the circle with a radius of 2 units is roughly 12.56636 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 A=LW. In other words, to find the area, just multiply the length by the width.


A=LW Start with the given area formula.



A=5%2A3 Plug in L=5 and W=3



A=15 Multiply 5 and 3 to get 15 (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.