Help!! geometry

[shy spire]

How do i solve this? it says “how big is the area of the colored part?”

[main pivot]

We can get the radius of the circle by finding the diagonal of the rectangle

[rose spindle]

Did you solved it?

[next crow]

Here's an approach to the problem.

[prisma chasm]

Tsumi

[next crow]

I forgot to put the point D, it should be above the point B,

[shy spire]

can you explain the last equation? i don’t understand it

[daring dust]

@shy spire are you supposed to find the area of the shaded reagion?

[shy spire]

yes

[daring dust]

find the radius, then find the area of the quarter circle and then subtract it with the area of the rectangle

you can find the radius using pythagorean theorem

@shy spire find the radius...

[shy spire]

the radius of the rectangle?

[rose cypress]

Of the circle.

[shy spire]

but i cant do that. i don’t know how to

[rose cypress]

remember that radius will be the same at any angle, and is the distance of the centre point to any point on the edge of the circle

You can use the rectangle to find this distance

By finding the length of the diagonal line

[distant lintel]

First use Pythagoras' Theorem to find the length of the diagonl of the rectangle... That will be the radius of the quadrant.... Now subtract the area of the rectangle from the area of the quadrant... This will give u the area of the shaded region...

[shy spire]

I found that the diagonal is square root of 41

[rose cypress]

That is the radius of the circle, with that you can find the total area of the circle and subtract the area of the rectangle

Also make sure to divide the circles area by 4 because it’s only one corner

[shy spire]

yay! i solved it

12,2 ish

thank you guys!!!

[rose cypress]

No problem

[robust fossil]

shut the clart up

[turbid jacinth]

.clart