The region represented by the shaded area has 25% and is 1/4th of the total circle.
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given as πr², where r is the radius of the circle.
In the given figure the total area of the circle is πr². The shaded region is one-fourth of the total area of the circle.
Total area = πr²
Shaded area = ( 1 / 4 )πr²
The percentage of the shaded area will be calculated as
Shaded area = ( 1 / 4 )πr²
Shaded area = ( 0.25 )πr²
To convert it into a percentage multiply by 100.
Shaded area = ( 0.25 x 100 )πr²
Shaded area =25% πr²
Put πr² as the total area.
Shaded area =25% of Total area.
Therefore, the region represented by the shaded area has 25% and is 1/4th of the total circle.
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