Question

Question for Only:- ❏ Moderators ❏ Brainly Stars ❏ Best users ✰ QUESTION ✰from a rectangular cardboard ABCD 2 circles and 1 semicircle of a largest side are cut. calculate the ratio between the area of the remaining cardboard and area of cardboard.​

Answer 1

Given : Figure

To find : The ratio between the area of the remaining cardboard after cutting circular pieces and area of cardboard.

Solution :

Let's say the radius of the circle be, r. Then the breadth of cardboard is 2r and also the length of cardboard = 5r.

Area of cardboard is given by Length × Breadth.

Area of cardboard = 2r × 5r = 10r²

Now the area of circular pieces is given by πr².

Area of 2 circles and 1 semi circle = πr²+πr²+πr²/2

Area of 2 circles and 1 semi circle = 5πr²/2

Area of cardboard after cutting out circular pieces,

Area = 10r² - 5πr²/2

Area = (20r² - 5πr²)/2

Area = 5r²(4-π)/2

Required ratio is given by,

Ratio = 5r²(4-π)/2 : 10r²

Ratio = (4-π)/2 : 2

Ratio = (4-π)/4 : 1

Ratio = (4 - 22/7)/4 : 1

Ratio = ((28-22)/7)/4 : 1

Ratio = 6/28 : 1

Ratio = 3/14 : 1

Ratio = 3 : 14

So the required ratio is 3 : 14.

Answer 2

Answer:

Here is your answer mate,

Step-by-step explanation:

Please check the attachment

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