Geometry

[Sayem]

This diagram shows a square of side 7 cm with 2 quadrants drawn inside.help me to find the shaded area and the way of finding it.

 

[tkhunny]

It would be important to know just a little more about the figure. Are those rounded arcs exactly 1/4 circle?

 

[pka]

This diagram shows a square of side 7 cm with 2 quadrants drawn inside.help me to find the shaded area and the way of finding it.

Go to this page: Circular Segments
\(\displaystyle R=7~\&~c=2\sqrt7\) because the diagonal is the chord and the central angle is \(\displaystyle \theta=90^o\).

 

[Steven G]

Are those rounded arcs exactly 1/4 circle?

To OP, if this assumption is correct, then what is the shaded area??

 

[pka]

This diagram shows a square of side 7 cm with 2 quadrants drawn inside.help me to find the shaded area and the way of finding it.

To Sayem: Do you understand why there are forum rules that state that you should show your own work?
I gave you a reply which supplied with all the necessary tools necessary to solve this question.
But you choose not to even try to solve the question: you logged on at 3:15 today.
So we are left to conclude that you care only for the answer.
So here it is \(\displaystyle 2\cdot 13.9845 \).
I can tell you that you will find that answer useless beyond this one case.

 

[Dr.Peterson]

This diagram shows a square of side 7 cm with 2 quadrants drawn inside.help me to find the shaded area and the way of finding it.

Taking you at your word that you are asking for help with a way to find the area (there are many ways, not just "the" way), here is a very quick way:

Observe that if we add the areas of the two quadrants (quarter-circles), we will cover the entire square once, but the shaded region twice.

So what can you do with this result to find the area of the shaded region?

 

[Sayem]

To Sayem: Do you understand why there are forum rules that state that you should show your own work?
I gave you a reply which supplied with all the necessary tools necessary to solve this question.
But you choose not to even try to solve the question: you logged on at 3:15 today.
So we are left to conclude that you care only for the answer.
So here it is \(\displaystyle 2\cdot 13.9845 \).
I can tell you that you will find that answer useless beyond this one case.

T

Go to this page: Circular Segments
\(\displaystyle R=7~\&~c=2\sqrt7\) because the diagonal is the chord and the central angle is \(\displaystyle \theta=90^o\).

What does R and c mean in geometry?I dont know since i always have done the maths in my native language.

 

[Dr.Peterson]

Go to this page: Circular Segments
\(\displaystyle R=7~\&~c=2\sqrt7\) because the diagonal is the chord and the central angle is \(\displaystyle \theta=90^o\).

What does R and c mean in geometry?I dont know since i always have done the maths in my native language.

pka gave you a link that defines the variables he used. Please read the link!

R typically means radius; in this case, c means chord. But the definition (in this case, a picture labeled with variables) is necessary in order to know what is meant in a particular formula.

 

[pka]

What does R and c mean in geometry?I dont know since i always have done the maths in my native language.

The shaded area in the diagram that you posted is the union of two non-intersecting circular segments with a common boundary the c in this case.
Now that boundary is the diagonal of the square in which the circular sectors are inscribed. Therefore the radius \(\displaystyle R=7~\&~c=2\sqrt7\).
Go to THIS LINK scroll down to the calculator section of the page. Enter the radius 7 and angle 90. Click Calculate it will give you the area of one half your area, area of one circular segment.