Question

What is the length of a radius of a circle whose center is at (1, -2) and whose one point lies on a circle at (-5, 6)?

Answer 1

Answer:

radius = 10

Step-by-step explanation:

The distance from the centre to the point on the circle is the radius r

Calculate r using the distance formula

r = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (- 5, 6)

r = $\sqrt{(-5-1)^2+(6-(-2))^2}$

  = $\sqrt{(-6)^2+(6+2)^2}$

  = $\sqrt{36+8^2}$

   = $\sqrt{36+64}$

   = $\sqrt{100}$

   = 10