A circle has its center at the center of a square with 10-inch sides. Find the area of the square not covered by the circle. Round the answer to the nearest tenth.
a.21.5 in2

c.71.4 in2

b.6.5 in2

d.2.5 in2

Respuesta :

dmks
The answer is A. 21.5
Ver imagen dmks

Answer:

The correct answer is option A , [tex]21.5 in^2\\[/tex]

Step-by-step explanation:

The radius of the circle will be equal to half of the side of the square

Thus,

Area of circle

[tex]\pi r^{2} \\= (3.14) * (5 in)^2\\= (3.14 * 25) in^2\\= 78.5 in^2\\[/tex]

Area of the square

[tex]= (side)^2\\= (10)^2\\= 100\\[/tex]

Area of the square not covered by the circle

[tex]= 100 in^2 - 78.5 in^2\\= 21.5 in^2\\[/tex]