calculate the area and the peremeter of the remaining portion,after cutting four quadrants , each radius 7cm,from the four corners of a rectangle measuring 20 cm by 30 cm
@butterflydreamer @ganeshie8 @perl @Sadworld
@ganeshie8
draw it out
idk...
this is ur problem so you should know what the problem is about atleast
idk how to draw thats it
read the problem 2-3 times
i did cant understand
shall i calculate the area of the rectangle?
start by drawing this first ` rectangle measuring 20 cm by 30 cm`
always draw a rough diagram first for geometry problems even if it is not necessary
that helps in understanding the problem better
20 is l and 30 is w?
looks like it
i drew the rectangle on my paper now?
after cutting 7cm radius pieces from the corners, it should look like below : http://community.coreldraw.com/cfs-file/__key/telligent-evolution-components-attachments/00-246-01-00-00-03-42-07/scalloped-rectangle.jpg
okay , now?
label the lengths and see if you can find the area and perimeter
let me know if you get stuck at a specific step
p is 100cm? a is 600cm^2?
those are for rectangle with out cutting the corners
perimeter and area will change if you remove the corners
???????how do i calculate then????????????
for area, you may subtract the removed area from the total area
whats the area of circle of radius 7cm ?
quarter circle or a full circle which one?
full circle
four quarter circles make a full circle
after cutting the circle is it 446cm^2?
@rational ?
are you using 3.14 for pi ?
show ur work
before cutting rectangle = 20 times 30 = 600 circle = pi time r^2 = 22/7 times 7 times 7 = 154 sub them = 600-154 = 446
sub them = 600-154 = 446 after cutting the circle ^^^
that looks perfect for area ! il let you work the perimeter
p = 2l + 2w = 40 + 60 = 100cm
for the rectangle
p = 2*pi*r = 2 times 22/7 time 7 = 44cm for the circle
sub them ans you get 56
i'm right?
you need to be more careful with perimeter notice that you need to add the perimeter of circle here because you're creating extra curves
?????????????????????????????????????????????????????????
add the perimeter of circle and subtract the removed edges
you're removing two edges of 7cm length from each corner so in total you're removing 2*7*4 = 56cm from the perimeter
you're replacing that 54cm perimeter with a circle whose perimeter is 2*pi*7 = 44cm
so the perimeter of this rectangle with curved corners would be : \[100 +44 - 56\]
simplify
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