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Mathematics 17 Online
OpenStudy (jinx.exe):

What is the approximate area of the shaded region?

OpenStudy (jinx.exe):

OpenStudy (k_lynn):

You have to find the area of the square and the area of the circle. Let's do the circle first. A circle's area formula is \[\Pi r ^{2}\]The figure only gives us the diameter of the circle. SO we have to divide 7 by 2. What do you get when you do that?

OpenStudy (k_lynn):

Plug in the quotient then solve.

OpenStudy (jinx.exe):

I'm like really confused

OpenStudy (jinx.exe):

well, 7/2 is 3.5

OpenStudy (k_lynn):

Ok. The question asks for the area of the shaded region. That's this part. http://prntscr.com/6qbl7o To find that area of the shaded region, we have to find the area of the whole square. http://prntscr.com/6qbln5 And the area of the circle. Let's find the area of the circle first. You just divided 7 by 2. 3.5 is right. The area formula of a circle is \[\Pi r ^{2}\]Pi is 3.14 and the r is the radius. You just found the radius which is 3.5 \[3.14\times3.5^{2}\]Or you can do this.\[3.14\times3.5\times3.5\]

OpenStudy (k_lynn):

What do you get when you multiply those?

OpenStudy (k_lynn):

@Jinx.exe

OpenStudy (jinx.exe):

38.465?

OpenStudy (k_lynn):

Yep. Remember that number. Now we need to find the area of the whole square. You just have to multiply \[7\times7\]Because the area formula of a square is \[Length \times Width\]What do you get when you multiply that?

OpenStudy (jinx.exe):

49

OpenStudy (k_lynn):

Right. Now we can subtract the areas to find what the area of the shaded region is. \[49-38.465\]

OpenStudy (k_lynn):

What do you get when you subtract those? You get your answer once you do that?

OpenStudy (k_lynn):

*that.

OpenStudy (jinx.exe):

10.535?

OpenStudy (k_lynn):

Yep, that's the answer.

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