Question

Two children A and B standing at the ends of the diameter of a circular playground A (3.-
10) and B (1.4) and their friend stands at the centre of the circle C.
a) Find the coordinates of C.
h Find the distance between A and B.​

Answer 1

The coordinates of C are (2,-3).

Distance between A and B is 10√2 units.

Step-by-step explanation:

It is given that two children A and B standing at the ends of the diameter of a circular playground.

(1)

A(3,-10) and B(1,4) and their friend stands at the center of the circle C. It means C is the midpoint of AB.

$C=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

$C=(\dfrac{3+1}{2},\dfrac{-10+4}{2})$

$C=(\dfrac{4}{2},\dfrac{-6}{2})$

$C=(2,-3)$

(2)

Distance between two points is

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A and B is

$Distance=\sqrt{\left(1-3\right)^2+\left(4-\left(-10\right)\right)^2}$

$Distance=\sqrt{2^2+14^2}$

$Distance=\sqrt{200}$

$Distance=10\sqrt{2}$

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