The area of 5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².
What is the area of the circle?
The area of the circle is the space occupied by it. It can be given as,
A=πr²
Here, (r) is the radius of the circle.
The radius of one stone is 10 inches. Thus, the area of one circular stone is,
A=πr²
A=π(10)²
A=314.16 in².
There are total 5 circles and 10 semicircles and 100 quarter circles. The area of 5 circle is,
A=5 x 314.16 in²
A=1570.8 in².
The area of circle is twice the area of semicircle and 4 times the area of quarter circle. Thus the area of 10 semicircle and 100 quarter circles is,
A(semicircle)=(10 x 314.16 in² )/2=1570.8 in².
A(quarter circle)= (100x 314.16 in² )/4=7854 in².
The total area is,
A=1570.8 +1570.8 +7854
A=10995.6 in².
Thus, the area of 5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².
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