In the figure assume that the circle are mutually tangent and that the circle with centre at A has radius 1. The lines AB and AC are tangent to the circle with centre O at B and C respectively. If the area of the shaded region is π/4, the radius of the circle centered
Let, ∠CAB=θ
Then, area of sector,
360
θ
π(1)
2
=
4
π
θ=90
∘
Now, the line joining the centre of the circle bisects the angle formed between two tangets, hence, ∠CAO=45
∘
Now, In △AOC
∠ACO=90
∘
(Angle between the tangent and the radius)
sin45=
AO
OC
2
1
=
r+1
r
r+1=r
2
r=
2
−1
1
(Rationalizing)
r=
2
+1
Step-by-step explanation:
please mark me as brainlist please
I think you forgot to put in the image
You would use d) power of a power because:
(x^4)^9
= (x^(4*(9))
= x^36
Hello.
The answer is "14 feet".
1 yard=3 feet
4*3=12
12+2=14
=14 feet
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer:
x=98°
Step-by-step explanation:
The angles of a triangle must equal 180°.
To get the third angle (G) you must do: 180°-53°-45°
That will give you 82°
Anglr G and angle x create a straight line which is 180°.
so to get the answer you must do 180°-G=x
180°-82°=98°
Therefore x=98°
