Question

If A(1,1) and B(7,9) are the end points of a diameter of the circle, then radius of the circle is

Answer 1

Hey friend!

Here is your answer:

To find the radius of a circle whose end points of a diameter are A( 1, 1) and B( 7, 9)

Distance Formula:

→ We will apply distance formula here,

which is dist(A,B) = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

where Coordinates of A is $x_1 , y_1$ and

Coordinates of B is $x_2 , y_2$

According to the question,

Length of diameter of the circle is

$\sqrt{(1 - 7)^2 + (1 - 9)^2}\\\\= \sqrt{(-6)^2 + (-8)^2}\\\\= \sqrt{36 + 64} \\\\= \sqrt{100} \\\\= 10$

Now,

Radius = $\frac{diameter}{2}$

$= \frac{10}{2} \\\\= 5 \ units$

Answer: 5 units

I hope it helps you