The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
#SPJ4
The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)
<h3>What is an
polynomial?</h3>
A polynomial is an expression that involves only the operations of a<em>ddition, subtraction, multiplication</em> of variables.
A perfect square trinomial is the square of a binomial
(x + y + x)(x + y + x) = (2x + y)²
(2x - 3)(-3 + 2x) = (2x - 3)²
(4y² + 25)(25 + 4y²) = (4y² + 25)²
The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)
Find out more on polynomial at: brainly.com/question/2972832
#SPJ4
If you show the menu I can help
Answer:
2 pi
Step-by-step explanation:
The radius is 2
The area of a circle is
A = pi r^2
We have 1/2 of a circle so
1/2 A = 1/2 pi r^2
=1/2 pi ( 2)^2
=1/2 pi *4
= 2 pi
