Respuesta :
Answer:
The length of the radius of the circle = 4.30 units
Step-by-step explanation:
Here, the endpoints of the diameter are given as A(-2,-3) and B(5,2).
Now, the given diameter is the segment AB.
DISTANCE FORMULA
It states that for two points P(a,b) and Q(c,d), the length of segment PQ is given as [tex]PQ = \sqrt{(a-c)^2 + (d-b)^2}[/tex]
So, applying the formula here,
[tex]AB = \sqrt{(5-(-2))^2 + (2-(-3))^2} = \sqrt{(5+2)^2 + (2+3)^2}\\ = \sqrt{(7)^2 + (5)^2} = \sqrt{49 + 25 } = \sqrt{74} = 8.60[/tex]
or, AB = 8.60 Units
So, the diameter of the circle = 8.6 units
Now, Diameter = 2 x Radius
So, R = D / 2
= 8.6 / 2 = 4. 3
or, Radius = 4.3 units
Hence, the length of the radius of the circle = 4.30 units
Answer:
The length of the radius of the circle is 4.3 unit
Step-by-step explanation:
Given as :
The end points of the diameter of a circle = (-2, -3) and (5, 2)
Let The point A = (-2, -3)
And The point B = (5, 2)
Now The measure of the diameter of the circle = The distance between points A and B
Or, Distance = Diameter = [tex]\sqrt{(y_2-y_1)^{2} + (x_2-x_1)^{2} }[/tex]
Or, Diameter = [tex]\sqrt{(2-(-3))^{2} + (5-(-2))^{2} }[/tex]
Or, Diameter = [tex]\sqrt{(5)^{2} + (7)^{2} }[/tex]
Or, Diameter = [tex]\sqrt{74}[/tex]
∴ Diameter = 8.6 unit
So, The diameter of circle = 8.6 unit
Now, The radius of circle = [tex]\dfrac{\textrm Diameter}{2}[/tex]
Or, radius = [tex]\dfrac{\textrm 8.6}{2}[/tex]
∴ Radius = 4.3 unit
Hence The length of the radius of the circle is 4.3 unit Answer
