There is a circle inscribed in a square, shown on the above figure. If

Question

1.png There is a circle inscribed in a square, shown on the above figure. If the length of the square is 2, what is the area of one of the 4 regions shaded? A. 1-π B. 2-π C. 4-π D. 1-(\frac{π}{2}) E. 1-(\frac{π}{4})

0akshay0 · Answer

area of one of the 4 regions shaded = (area of Square - area of circle)/4 = (4-pi)/4 = 1- pi/4 Hence Option E is correct Hit Kudos if you liked it 8-)

MathRevolution · Answer

==> The area of the square-area of the  circle=2^2- π=4- π , and since it asks for one of the 4 regions shaded, you get  \frac{4- π}{4}=1-(\frac{π}{4}) .

The answer is E.
Answer: E

Nunuboy1994 · Answer

Silly mistake- but fixed it- you have to multiply 1 by 1 to get the area of one fourth of the square and then subtract it by the area of the remaining portion of the circle inside it; though, you can just find the area of the circle and divide it by 4. Thus,

1 x 1= 1
pi (1)^2= pi (1) / 4

1- pi(1)/4

1 x 1= 1
pi (1)^2= pi (1) / 4

1- pi(1)/4

KrishnakumarKA1 · Answer

Side of square = diameter of circle = 2 x radius\therefore radius = diameter/2 = 1

Area of shaded region = area of square - area of circle = 2 x2 - pi*1*1 = 4 -pi

Since there are 4 equal parts of the shaded region, area of one shaded region = (4 -pi)/4 = 1 - pi/4

Option E

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teamryan15 · Answer

Can someone please explain to me why the area of the circle isnt pi*radius^2? Why is it just pi?

chetan2u · Answer

The area is  pi*r^2  itself but the length of square is 2, which is equal to diameter. Hence radius is 2/2=1
So r^2=1^2=1..
What is left is pi*r^2=pi*1^2=pi

LeoN88 · Answer

Square Area= 4

Diameter= 2, Radius= 1
Area of circle= PI.

Now Total shaded region= 4-PI

1/4 th of shaded region= (1/4) (4_PI)  E

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There is a circle inscribed in a square, shown on the above figure. If

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