Answer:
Therefore the required Equation of Circle

Step-by-step explanation:
Given:
End point of Diameter be
point A( x₁ , y₁) ≡ ( -2 ,-2 )
point B( x₂ , y₂) ≡ ( 4 , -10 )
To Find:
Equation of a circle =?
Solution:
When end points of the Diameter are A( x₁ , y₁) , B( x₂ , y₂). then the Equation of Circle is given as

Substituting the end point are

Applying Distributive Property we get

Therefore the required Equation of Circle

7x^2 - 32x - 60
Factor by grouping,
(x - 6) (7x + 10)
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
Ok I got 190,208
I hope this helps