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Statement 1: The area of a quarter circle is one-fourth of that of a circle with same radius.


Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with same radius.


Options:
A .   Both the statements are true   
B .   Statement 1 is true and statement 2 is false
C .   Statement 1 is false and statement 2 is true
D .   Both the statements are false
Answer: Option B
:
B

The area of a quarter circle is one-fourth of that of the complete circle because the area is the region enclosed. For a semi-circle, it is half of the total area and for quarter circle, it is one-fourth. So, area of a quarter circle with radius r=πr24


The circumference is the length of the boundary. For a quarter circle with radius r, circumference is given by  (πr2)+2r.


So, statement 1 is true and statement 2 is false.



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