SOLUTION: A Mexican restaurant sells quesadillas in two sizes a large 10 inch round quesadilla and a small 4 inch round quesadilla. Which is larger Half of the 10 inch quesadilla or the enti

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Question 1177129: A Mexican restaurant sells quesadillas in two sizes a large 10 inch round quesadilla and a small 4 inch round quesadilla. Which is larger Half of the 10 inch quesadilla or the entire 4 inch quesadilla.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If you know the formula for area of a circle then you can answer this question without any help. Otherwise just look for the formula and use it.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circle is equal to
A=r%5E2%2Api where r is the radius

Find the area of the 10 inch-round quesadilla
we have diameter d=10 inch=> radius r=5 inch
substitute
A=5%5E2%2Api

A=25%2Api

Find the area of the 4 inch-round quesadilla
we have diameter d=4 inch=> radius r=2 inch
substitute
A=2%5E2%2Api

A=4%2Api

Compare
half of the 10-inch quesadilla is equal to ----> A=25%2Api%2F2=12.5pi
the entire 4-inch quesadilla ---->A=4%2Api
12.5pi%3E4pi
therefore, half of the 10-inch quesadilla is greater+than the entire 4-inch quesadilla