Question

The co-ordinates of the centre of the circle are (0, 0) and the
co-ordinates of a point on the circumference are (3, 4). Find the
length of the diameter.​

Answer 1

Steps :

Use formula of distance

→ Find the distance

→ The distance is the radius

→ FINAL Find the diameter

Every points on a circle has a same distance to the center.

And the distance is 5, which is the radius.

Diameter is two times the radius.

The diameter is 10.

Answer 2

The diameter is "10 cm". Further explanation is given below.

Step-by-step explanation:

Given co-ordinates are:

(0,0) = (x1,y1)

(3,4) = (x2,y2)

As we know,

Distance = $\sqrt{(x1-x2)^2+(y1-y2)^2}$

On putting the values in the above formula, we get

⇒  D = $\sqrt{(0-3)^2+(0-4)^2}$

⇒      = $\sqrt{(-3)^2+(-4)^2}$

⇒      = $\sqrt{9+16}$

⇒      = $\sqrt{25}$

⇒      =  5 units

Now, as we know that, Distance = radius

So, the radius = 5 cm

and the diameter is two times the radius i.e,

⇒  diameter = 2(radius)

⇒                   = 2×5

⇒                   = 10 cm

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