Statement 1: The area of a quarter circle is one-fourth of that of a circle with the same radius.
Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with the same radius.
Statement 1 is true and statement 2 is false
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.