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If the radius of the circle is r, then the area of the quadrant is 0.25*pi*r^2
Presumably the plate is completely flat. The circumference will be 4*25 = 100 cm. First find the radius of the plate by rearranging the formula: 2*pi*radius = 100cm radius = 100/2*pi = 15.91549431 cm. Now use the formula pi*radius2 to find the area of the plate, and then divide your answer by 4 to give you the area of the quadrant. pi*15.915494312 = 795.7747155/4 = 198.9436789cm2. Therefore, the area of the quadrant is 199 cm2 correct to three significant figures.
In a circle of radius, r, perimeter of quadrant = pi*r/2 + 2r = r*(pi/2 + 2)
The one in which the centre is in the fourth quadrant, and where the distance from the centre of the circle to the origin is greater than its radius.
If you the radius of the circle is r then the perimeter of a quadrant = r*(2 + pi/2).