Q4

[calm turtle]

sure

[hallow spindle]

Don’t we have any mentors around?

Unless you can help of course

[calm turtle]

point A being on the circle x^2+y^2=25

r^2=25 ofc

so r=+ or -5 where we’re in the 2nd quadrant so it must be +ve

r=+5

this must be a 3,4,5 pythagoras triangle

[hallow spindle]

So what’s the answer

[calm turtle]

dude

do you want an answer or to understand

[hallow spindle]

Both 👍

[calm turtle]

okay, then try to follow what im saying

this is what the circle would look like rn

as you can see there’s a triangle in there, this is because we have a radius, value along the x axis and value along the y axis

this combines to give us a right-angle triangle

should i explain a bit more or does that make sense?

[hallow spindle]

Explain more

[calm turtle]

Basically

Do you know how equation of a circle works?

[hallow spindle]

Yes

So is it 1/2 of 3 times 4

Would that give answer?

<@&791435371564892232>

[calm turtle]

nah dude..

it’s a right angle triangle

[hallow spindle]

But they want area

[calm turtle]

look here

we need to work step by step

we can’t just jump into such a big thing like that

First we need to find the coordinates of (3,p)

To do that we’d have to make this sort of triangle

How do you think we can find the height of this triangle first of all

[paper pumice]

did u get the answer 50/3

[hallow spindle]

5 squared by 3 squared

Minus

[paper pumice]

OAB is not right angled

[hallow spindle]

Guys I’m sorry but I need a mentor

[calm turtle]

I know

But he needs to do a right angle triangle to find the coordinates (3,4)

[paper pumice]

what step u on

[calm turtle]

as it’s a pythagorean triplet

[paper pumice]

?

[calm turtle]

struggling with explaining step 1

[paper pumice]

just plug it into the equation

[paper pumice]

yh u plug 3 into the circle equation

[calm turtle]

A (3,4)
O (0,0)
B (0,5)

[paper pumice]

no

[calm turtle]

oops (0,-5)

[paper pumice]

no

its not

i did it and i even sent it to chat gpt and i got my answer

ill send u my working

[calm turtle]

alright

[acoustic timber]

im not really sure of the need of using a pythag triple

[calm turtle]

OHHH

[acoustic timber]

surely it's just

[calm turtle]

THE LINE CROSSES THE X AXIS AT B

[acoustic timber]

sub x in

get the y coord

[calm turtle]

i used it to find A

[acoustic timber]

then do the tangent

then do y=0 onto tangent eq

and then do the area

[paper pumice]

Did u get 50/3

For the answer

[acoustic timber]

I haven't done it

[calm turtle]

whats eqol”

[acoustic timber]

I just know the method

[paper pumice]

I’ll send u my working and u verify

[acoustic timber]

aight

[paper pumice]

Same just want to check numbers

[acoustic timber]

yhyh

[calm turtle]

is A (3,4)

[paper pumice]

Yh

[hallow spindle]

How do you actually do this?

[hallow spindle]

I’m so confused

[paper pumice]

Look at my working If u can read it

[hallow spindle]

Are you sure it’s right?

Can I get this verified by a maths mentor?

[paper pumice]

ive done this question a lot and i checked chatgpt asw

[paper pumice]

i asked tom he said it looked fine

[acoustic timber]

@hallow spindle

• sub x coord into circle eq to find p

• use (0,0) and point A to find equation of tangent, which is L

• let y = 0 for L to find point B

• find area with 1/2bh

[hallow spindle]

@acoustic timber call a mentor here for a sec please

[acoustic timber]

bro it's right 😭😭

I jus gave u the method too

[hallow spindle]

Just do it please

I believe you

[acoustic timber]

aight

[paper pumice]

it is probs better cuz its more legible if u do it lmao

[calm turtle]

dude 😭

tom is a y13 student

[hallow spindle]

Bro there’s no harm in checking

[calm turtle]

im sure he could do y11 transition maths work

[hallow spindle]

I believe you but I just want to get this verified 💯

Please 🙏

[acoustic timber]

x²+y²=25
let x = 3
y²=16
y=4
A : (3,4)

(0,0) and (3,4)
y-y1=m(x-x1)
gradient is 4/3
y-4=4/3(x-3)
3y-12=4x-12
3y=4x+24
y=4/3x + 8

let y=0
0=4/3x+8
-8=4/3x
x = -6
B : (-6,0)

points: (0,0), (3,4), (-6,0)

[hallow spindle]

Then you guys can explain to me or the mentor can

[calm turtle]

gradient of L is -3/4 right

[acoustic timber]

then someone else can find the area

I cba

[calm turtle]

because gradient of radius is 4/3

and theyre perpendicular

[hallow spindle]

How did you even do it Tom?

I need a mentor who can actually explain the maths

I’m a slow learner

[acoustic timber]

it doesn't actually say it's perpendicular

oh wait I'm stupid

yh it's -3/4 as m

[acoustic timber]

@acoustic timber

oops

[acoustic timber]

@hallow spindle

I did this

[calm turtle]

i got this for equation of line L

[acoustic timber]

yh

[hallow spindle]

I got 25/4

[acoustic timber]

y-4=-3/4(x-3)
4y-16=-3x+9
y=-3/4x+25/4

it is 25/4

lol

[hallow spindle]

Lol!!!

[calm turtle]

mbmb

addition error!

[hallow spindle]

Get a mentor here!!!

[acoustic timber]

what we've learnt is don't let a y11 do a y11 question 🤪

[calm turtle]

sub 0 into the x val

[hallow spindle]

Tom, please mentor!!!!

Just one thing

[paper pumice]

yh thats correct

[acoustic timber]

with ur equation u have

sub y = 0

in

and find the x coord

then u have point B

[hallow spindle]

What’s point B?

[paper pumice]

(25/3,0)

[hallow spindle]

<@&791435371564892232> guys I need help we’re all stuck

[paper pumice]

bro i did it

lmao

[hallow spindle]

Isn’t it 3/25

[paper pumice]

na 25/3

[calm turtle]

sub 0 into the line dude

it cant be 3/25 or itd be inside the circle

and it’s not inside the circle otherwise would be positive gradient

[hallow spindle]

Then what would you do after that

[calm turtle]

y=0 when line intercepts x axis

[paper pumice]

draw it out

yk the height is 4

and the base is 25/3

then use 1/2 bh

and u get 100/6 or 50/3

[calm turtle]

here

[hallow spindle]

Can you draw it out and show me please?

[paper pumice]

i did

[calm turtle]

this is the full working out for B if you dont understand

[calm turtle]

yeah

i agree

[hallow spindle]

Thanks so much guys!

[paper pumice]

@hallow spindle

[paper pumice]

np

[calm turtle]

no problem

if this is solved and you have no further questions, run command /solved

should you have any questions, im available for dms or pings!

[hallow spindle]

Wait and how you found area?

[calm turtle]

1/2 bh

base is 25/3

height is 4