Question

In the square below, the four quarter-circles are congruent. Find the area of the shaded region. If necessary, round your answer to two decimal places.

Answer 1

http://media.apexlearning.com/Images/200703/26/0d9e6851-598b-4e6b-ac22-23eed1367857.gif

Answer 2

@3mar

Answer 3

What did you pick?

Answer 4

i honestly have no clue how to do this... iwas not taught how to :(

Answer 5

The shaded area is the subtraction of 4 quarter-circles areas from the area of the square.

Answer 6

It is soo tricky and soo sooo easy in the same time

Answer 7

radius of circle is s
area of a quarter circle is \[\frac{ 1 }{ 4 }(\pi*5^2)=\frac{ 25\pi }{ 4 }\]
area of the 4 quarters will be \[\frac{ 25\pi }{ 4 }*4=25\pi\]

Answer 8

area of the square is 64

Answer 9

area of square =x*x
there are four quarters of a circle each of radius 4
area of four sectors=\[4 \pi 4^2\times \frac{ 90 }{ 360 }=16 \pi\]
area of shaded region=area of square-area of 4 sectors=?

Answer 10

....... so confused................

Answer 11

the shaded area =64-16pi=13.735

sorry the radius will be 4 (8/2) not 5

Answer 12

so 4 and 8/2 is the answer?

Answer 13

radius of circle is s area of a quarter circle is
0.25(π∗4^2)=4π
area of the 4 quarters will be
4π∗4=16π

Answer 14

This is the answer:
the shaded area =64-16pi=13.735

Answer 15

\[area ~of ~one ~sector =\pi r^2 \times \frac{ \theta }{ 180 }\]
area of 4 sectors\[=4 \pi r^2\times \frac{ \theta }{ 360 }\]
\[\theta=90\]

Answer 16

@YourBoyDusty
concentrate at one of us and follow with him to the end

Answer 17

ok....next

Answer 18

yes

Answer 19

Thank you for the medal!