Area of unshaded region in the figure, where 4 semi circle and one square are inside a square | Mathematics | Page 1

rough imp Dec 6, 2023, 5:56 AM

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area of unshaded region

leaden kilnBOT Dec 6, 2023, 5:56 AM

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rough imp area of unshaded region

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Wait patiently for a helper to come along.
Once someone helps you, say thank you and close the thread with:

+close

Feel free to nominate the person for helper of the week in #helper-nominations
Do not ping the mods, unless someone is breaking the rules.
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

north sable Dec 6, 2023, 6:33 AM

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rough imp area of unshaded region

any ideas on how to get it

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hint:subtracting areas

rough imp Dec 6, 2023, 6:40 AM

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How can I get the radius of those hemispheres?

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@north sable

north sable Dec 6, 2023, 6:40 AM

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,rotae

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,rotate

verbal mistBOT Dec 6, 2023, 6:40 AM

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north sable Dec 6, 2023, 6:40 AM

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square

rough imp Dec 6, 2023, 6:41 AM

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length of that square?

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betterSkull

north sable Dec 6, 2023, 6:54 AM

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rough imp length of that square?

well what are the other shapes there

rough imp Dec 6, 2023, 7:00 AM

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north sable well what are the other shapes there

4 hemispheres

north sable Dec 6, 2023, 7:01 AM

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they are 2d

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hemisphere isnt quite correct

rough imp Dec 6, 2023, 7:01 AM

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sorry semi cirlce

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I was daydreaming

north sable Dec 6, 2023, 7:01 AM

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anyways try extending the 3cm lines across

rough imp Dec 6, 2023, 7:02 AM

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Area of unshaded region in the figure, where a 4 semi circle and one square are inside a square

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Area of unshaded region in the figure, where 4 semi circle and one square are inside a square

north sable Dec 6, 2023, 7:03 AM

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assume this line is straight

rough imp Dec 6, 2023, 7:03 AM

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yea, thats 14 cms...

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3+3+x= 14

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x= 8

north sable Dec 6, 2023, 7:04 AM

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let x be the radius of a semicircle

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what can you get then

rough imp Dec 6, 2023, 7:05 AM

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thats the problem x being the radius is not possible here

rough imp Dec 6, 2023, 7:05 AM

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rough imp x= 8

I just provided the length of the whole figure inside that square

north sable Dec 6, 2023, 7:07 AM

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rough imp thats the problem x being the radius is not possible here

i- wh

rough imp Dec 6, 2023, 7:07 AM

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Yes?

north sable Dec 6, 2023, 7:09 AM

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how can we express the side length of the square in terms of the radius of the circles

rough imp Dec 6, 2023, 7:10 AM

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rough imp Dec 6, 2023, 7:10 AM

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north sable how can we express the side length of the square in terms of the radius of the c...

No idea

north sable Dec 6, 2023, 7:11 AM

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note that the diametre of the circle and the side of the square are the same

rough imp Dec 6, 2023, 7:12 AM

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how?

north sable Dec 6, 2023, 7:12 AM

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its... the same line?

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does that make sense or not

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the next step kinda hinges off this

rough imp Dec 6, 2023, 7:14 AM

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yes

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you are right

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Indeed as radii are always same in a circle

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and radii is also half of diameter😊

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kinda goes like this

north sable Dec 6, 2023, 7:23 AM

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@rough imp any progress?

#Area of unshaded region in the figure, where 4 semi circle and one square are inside a square