Find the exert area (X) of the square PNMQ.
Let us see the first to get the connection, then we can learn from him/her.
What a man can do woman can do better
Equal rights and equal responsibilities
What ever is your slogan, please solve.
FG is insinuating that most of you can't do this, don't tell me their research is accurate.
Prove them wrong!
"Every shape must be solved"
The men are not left out anyway.

Anyone?

Not saying I can do it but if any female here can do it, she deserves an award.


How many of them can do it?

Hmmm no one?

The difficulty level of this is low,
You ladies should not fall our hand

X = 16 units².

@ifada123, I will use this month and next to learn basic geometry. I must conquer all your shapes.

Martinez39:


X = 16 units².

@ifada123, I will use this month and next to learn basic geometry. I must conquer all your shapes.

OK sir "every shape must be solved"
That's one of my l anthem

Martinez39:


X = 16 units².

@ifada123, I will use this month and next to learn basic geometry. I must conquer all your shapes.

Not correct try again
The area of the full quadrant is
1/4 x22/7×√10×√10=7.8539cm^2
So that square will have lesser area.
Try again sir

ifada123:

Not correct try again
The area of the full quadrant is
1/4 x22/7×√10×√10=7.8539cm^2
So that square will have lesser area.
Try again sir

Sorry, I made a mistake. I erroneously squared my answer.

X = 4 units².

Martinez39:
Sorry, I made a mistake. I erroneously squared my answer.

X = 4 units².

Very correct
Show them workings

Martinez39:
Sorry, I made a mistake. I erroneously squared my answer.

X = 4 units².

Show workings so that people will learn from you sir

ifada123:

Show workings so that people will learn from you sir

|PO| = |OQ| = a
|PO|² + |OQ|² = |PQ|² , let |PQ| = y
2a² = y², therefore a = y/√2
The distance d from O to the midpoint of |PQ| is
d = a Cos (π/4) = y/2
The distance s from O to the midpoint of |NM| is
s = y/2 + y = 3y/2

Length of chord |NM| is
|NM| = 2 √(R² - s²) , R = √10
y = 2√(10 - 9y²/4)
y² = 4(10 - 9y²/4) = 40 - 9y²
10y² = 40
Therefore y² = 4 units²

Martinez39:
|PO| = |OQ| = a
|PO|² + |OQ|² = |PQ|² , let |PQ| = y
2a² = y², therefore a = y/√2
The distance d from O to the midpoint of |PQ| is
d = a Cos (π/4) = y/2
The distance s from O to the midpoint of |NM| is
s = y/2 + y = 3y/2

Length of chord |NM| is
|NM| = 2 √(R² - s²) , R = √10
y = 2√(10 - 9y²/4)
y² = 4(10 - 9y²/4) = 40 - 9y²
10y² = 40
Therefore y² = 4 units²

Good one
You can also use cosune rule,

It is unfortunate that no female can answer this,
FG maybe correct, "most of them are not doing well in maths"

EbukaHades10:
Not saying I can do it but if any female here can do it, she deserves an award.


How many of them can do it?

.

This whole thread is sexist .

@ifada123 maybe you can start posting proof based geometry questions.

Darivie04:
@ifada123 maybe you can start posting proof based geometry questions.

Geometry Right?
I have them too, is like you are very good at it,
I will post one today.

ifada123:

Geometry Right?
I have them too, is like you are very good at it,
I will post one today.

Out of all the basic mathematics subjects Geometry/Shapes is probably my weakest but your problems are always fun to try.

Darivie04:

Out of all the basic mathematics subjects Geometry/Shapes is probably my weakest but your problems are always fun to try.

Thank you sir,
I will keep them coming