A community for students.
Here's the question you clicked on:
 0 viewing
mathsmarts
 2 years ago
a square is inscribed in a circle, each side of sq measures 4^2 in. Find an expression for the exact area of the shaded region... That being outside the square within the circle...I know how to get the shaded area.. I need the expression which is (16 pi  32) but I dont understand the answer. can you help with that???
mathsmarts
 2 years ago
a square is inscribed in a circle, each side of sq measures 4^2 in. Find an expression for the exact area of the shaded region... That being outside the square within the circle...I know how to get the shaded area.. I need the expression which is (16 pi  32) but I dont understand the answer. can you help with that???

This Question is Closed

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0area of circle  area of square

mathsmarts
 2 years ago
Best ResponseYou've already chosen the best response.0I know how to get the shaded area.. I need the expression which is (16 pi  32) but I dont understand the answer. can you help with that???

DemolisionWolf
 2 years ago
Best ResponseYou've already chosen the best response.0is this correct? dw:1385249213040:dw

mathsmarts
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1385250369163:dw

AllTehMaffs
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1385250006166:dw The area of the shaded region of the problem you described is \[A= 128 \pi  256\]

AllTehMaffs
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1385250495005:dw

AllTehMaffs
 2 years ago
Best ResponseYou've already chosen the best response.2on the right, it should say \[r=c/2\]

mathsmarts
 2 years ago
Best ResponseYou've already chosen the best response.0YOU GUYS ARE AWESOME!!!

mathsmarts
 2 years ago
Best ResponseYou've already chosen the best response.0how do I give you a metal?

AllTehMaffs
 2 years ago
Best ResponseYou've already chosen the best response.2To understand the answer, we can look at another example. Say we have two rectangles, one that's 8x5 and another 2x5  the smaller one is inset in the other. dw:1385273283416:dw

AllTehMaffs
 2 years ago
Best ResponseYou've already chosen the best response.2If we want to find the area of the "shaded region" (like in the circle problem) dw:1385273501118:dw we can subtract the area of the little rectangle from the bigger rectangle \[8*52*5 = 4010=30\] In this instance, it's easy to see that the shaded area is the larger area minus the smaller area  we check it knowing that the rectangular shaded region has dimensions 6x5 dw:1385273671303:dw \[6x5=30\] So the area of the shaded rectangle is proved to be equivalent to the area of the large rectangle minus the area of the small rectangle \[6*5 = 8*52*5\] \[30=4010\] \[30=30 \ \Huge \color{green} \checkmark\] Similarly, the answer in the back of the book gives the area of the larger circle dw:1385273946213:dw minus the area of the inscribed square dw:1385274015235:dw And the radius of the circle was found using the Pythagorean Thm. to find the diameter of the circle (and thus the radius) dw:1385274176101:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.