Find the area of the square
Another one from Mind Your Decisions that YT suggested I watch a week or two ago:
He then does it the obvious and quick but rather boring way, using Pythag.
I watched the first minute (so that I didn’t know his method or the answer) and then decided to drift off to sleep to see whether my subconscious could work out how to do it using the ‘co-ordinates’ method. At four in the morning, I dreamed that I knew how to do it and was explaining it to my daughter (who’s doing a maths degree). So I woke up and tried it; my subconscious had cracked it for me!
First, redraw the picture, mentally at least:
The formula for a circle is X^2 + Y^2 = 1.
The two blue outlined squares touch the origin (0,0) and point D.
The equation for the green line is Y = X/2.
Point D has co-ordinates that satisfy both equations.
So (X^2)/4 + X^2 = 1.
Point D has co-ordinates X = √0.8, Y = √0.2.
Point B has co-ordinates (0,√0.2).
Length AB = √0.2.
The orange triangle must be a 90-45-45 triangle, so length AC also = √0.2
Length BC (using Pythag) = √0.4.
BC is the side length of the square, so the area of the square = 0.4.
Source: http://markwadsworth.blogspot.com/2022/08/find-area-of-square.html
Anyone can join.
Anyone can contribute.
Anyone can become informed about their world.
"United We Stand" Click Here To Create Your Personal Citizen Journalist Account Today, Be Sure To Invite Your Friends.
Lion’s Mane Mushroom
Mushrooms are having a moment. One fabulous fungus in particular, lion’s mane, may help improve memory, depression and anxiety symptoms. They are also an excellent source of nutrients that show promise as a therapy for dementia, and other neurodegenerative diseases. If you’re living with anxiety or depression, you may be curious about all the therapy options out there — including the natural ones.Our Lion’s Mane WHOLE MIND Nootropic Blend has been formulated to utilize the potency of Lion’s mane but also include the benefits of four other Highly Beneficial Mushrooms. Synergistically, they work together to Build your health through improving cognitive function and immunity regardless of your age. Our Nootropic not only improves your Cognitive Function and Activates your Immune System, But it benefits growth of Essential Gut Flora, further enhancing your Vitality.
Our Formula includes:
Lion’s Mane Mushrooms which Increase Brain Power through nerve growth, lessen anxiety, reduce depression, and improve concentration. Its an excellent adaptogen, promotes sleep and improves immunity.
Shiitake Mushrooms which Fight cancer cells and infectious disease, boost the immune system, promotes brain function, and serves as a source of B vitamins.
Maitake Mushrooms which regulate blood sugar levels of diabetics, reduce hypertension and boosts the immune system.
Reishi Mushrooms which Fight inflammation, liver disease, fatigue, tumor growth and cancer. They Improve skin disorders and soothes digestive problems, stomach ulcers and leaky gut syndrome.
Chaga Mushrooms which have anti-aging effects, boost immune function, improve stamina and athletic performance, even act as a natural aphrodisiac, fighting diabetes and improving liver function.
Try Our Lion’s Mane WHOLE MIND Nootropic Blend 60 Capsules. Today Be 100% Satisfied Or Receive A Full Money Back Guarantee Order Yours Today By Following This Link.