Question

The figure below shows two white quarter circles inside a rectangle.

The area of the shaded portion is approximately _____square feet. Round the solution to the nearest whole number. Use 3.14 for pi.

Answer 1

@ganeshie8

Answer 2

you finished wid the previous q ha

Answer 3

you posted the q and disappeared

Answer 4

Sorry! I ended up figuring out the answer on my own, with the help of my math partner lol.

Answer 5

ok good :) wat did u get as answer

Answer 6

My partner and I ended up choosing "It is correct because angle CGD = 72°, angle GCD = 72°, and angle GDC = 36°."

Answer 7

thats wrong working, you guys wud have made some mistake somewhere

Answer 8

first, lets work the present problem, then we can go back to the previous one ok

Answer 9

Can you explain it to me then?

Answer 10

sure, we will do that problem in the older post :) lets do the present problem

Answer 11

Okay (:

Answer 12

look at the figure. its a rectangle and two quarter circles

Answer 13

area of shaded region = area of rectangle - area of quarter cicles

Answer 14

So we have to find the individual area of the shaded region, the entire rectangle, and both of the quarter circles?

Answer 15

find the whole rectangle area.
find the quarter circles area.

subtract

Answer 16

Ohh, I read that wrong. And the area of the shaded region will be whatever the area of the rectangle and the area of the quarter circles are when subtracted.

Answer 17

thats right !

Answer 18

area of rectangle = lxb
= ?

Answer 19

It would be 40*40 right?

Answer 20

l = 40+40 = 80

Answer 21

b = 40

Answer 22

area of rectangle = 80 x 40

Answer 23

3200

Answer 24

Yes, next find the area of quarter circle

Answer 25

Is there a formula I can follow, or?

Answer 26

use area of circle formula. and divide it by 4 since it is a quarter circle.

Answer 27

Okay, so the area for a circle is 2*pi*r right?

Answer 28

thats perimeter, not area

Answer 29

area = pi*r^2

Answer 30

Well I don't know the radius?

Answer 31

look at the quarter circle once.

Answer 32

r = 40

Answer 33

so pi*40^2 = 5024 and then divided by 1/4 the answer is 1256 ??

Answer 34

thats the area of one quarter circle

Answer 35

in the pic, how many quarter circles u have ?

Answer 36

The area for both would be 2512

Answer 37

So the area of the shaded region would be 688

Answer 38

Exactly ! subtract this 2512 from the rectangle area you worked before. that gives the area of shaded region

Answer 39

Area of shaded region equals 688

Answer 40

688 = \(\checkmark \)

Answer 41

Can you help me with this one? I'm really bad at these.

The coordinates of rectangle ABCD are A(3, -2), B(5, -2), C(5, -7), D(3, -7). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the x -axis?

(4, 4.5)

(-4, 4.5)

(4, 2.5)

(-1, -4.5)]

Answer 42

plot the points first

Answer 43

Okay, one second