Question

find the radios of the circle with centre at orgein &(3,-4) is apoint on the circle
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Answer 1

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Answer 2

Solution

Given :-

• Centre of circle is origin .
• A another point on circle (3,-4) .

Find :-

• Radius of circle

Explanation

Let,

C be a circle , and O(0,0) be centre of circle .

A another point P(3,-4) be on circle.

So, We calculate Distance from origin to point P

Using Formula

If , two point A(x,y) & B(x',y') .

Then, distance will be ,

$\boxed{\tt{\red{\:AB\:=\:\sqrt{(x-x')^2+(y-y')^2}}}}$

Here,

• x = 0
• y = 0
• x' = 3
• y' = -4.

So, Now ,for radius

==> OP = √[{(0-3)² + (0 + 4)²}]

==> OP = √[(-3)² + (4)²]

==> OP = √(9 + 16)

==> OP = √25

==> OP = 5 units.

Hence

• Radius of Circle be 5 unit.

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