In the diagram, the vertices of the square lie at the centers of the four partial circles. What is the area of the entire shape? Use the value pi = 3.1416

Answer:
A) 33,562 square units
Step-by-step explanation:
Square = 100*100=10,000
Each circle = [tex]\pi[/tex]r² = 3.1416*50*50=7854
Each 3/4 circle =7854*3/4=5890.5
All four 3/4 circles = 5890.5*4=23562
TOTAL = 23562+10,000=33,562 square units
The area of the entire shape is 33,562 square units
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 figure is made up of a square and four 3/4 circles. So the total area will be equal to the sum of the area of the square and the sum of the 3/4 th circles.
Area of Square:-
= 100 x 100 = 10,000
Area of each circle
= π r² = 3.1416 x 50 x 50 = 7854
Area of each 3/4 circle
= 7854 x ( 3/4 ) = 5890.5
Area of all four 3/4 circles
= 5890.5 x 4=23562
The TOTAL area will be the sum of all the areas
A = 23562 + 10,000 = 33,562 square units
Therefore the area of the entire shape is 33,562 square units
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