Respuesta :

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

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 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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