I need help with geometry/math please!?

Question

1. A square of side 10 units is inscribed in a circle. Find the area of the shaded region. (use PI = 3.14)

http://i241.photobucket.com/albums/ff152/Flurpie_galore/Picture395.jpg

2. A circle is inscribed in a square of side 10 units. Find the area of the shaded region.

http://i241.photobucket.com/albums/ff152/Flurpie_galore/Picture396.jpg

Answer 1

1) You need to find the radius of the circle. Since the square is 10 by 10, use pythagoras to find what the diagonal/diameter is. Then halve that. Use area= Pi*r^2 to find the area of the circle, and minus the area of the square from it to get the area of the shaded region.

2) The area of the square (10 x 10) minus the area of the circle (radius is half of 10. Use above formula)

I hope that helps :)

Answer 2

subtract the area of the square from the circle but be warned that the radius of the circle is the half of the diameter of the square:

Pythogreon theorm r = (1/2)*10*sqrt(2)

shaded region: 50*π-100

2nd

subtract the area of circle from the area of the squre and be warned that this time the radius is the half of one side of the square

r = 5

shaded region: 100-25*π

Answer 3

1.make a triangle with legs 5 and 5, and a hypotenous of sqrt50 using pathagorean theorem. that makes sqrt50 the radius of the circle.

pi(sqrt(50)^2-10^2

pi(50)-100

57

2. easier...

10^2-pi(5)^2

100-25pi

21.5

make it a good day

Answer 4

Area= pi x r^2

=pi x 5^2

=78.54

Area = L x W

= 10 x 10

=100

=100 - 78.54

=21.46

Answer 5

2 21.5 sq units

Answer 6

1.  A of circle = pi*r^2

10*sqrt of 2  / by 2=7.07 = radius

7.07^2  *pi=156.95

A of square

100

shaded region = 56.95  units squared

2.  Are of square is 100

radius of circle is 5

5^2 *pi

25*3.14=78.5

100-78.5=21.5

21.5 units squared

Answer 7

For the first one do Pi * Radius * Radius (PI times radius times radius), and get the area of the circle. Then find the area of the square by multiplying length times width, and then subtract: Area of Circle minus Area of Square = Area of shaded region

For the second one do the same thing, but instead do Area of Square minus Area of Circle

Hope I helped

(I think I might be thinking of another type of problem haha)