Question

★Maths Question★
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AB is a diameter of a circle with centre C(-2,5). If point A is (-3,7), find the Length of Radius AC.
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Proper Explained Answer Needed...
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Answer 1

Given,

AB is diameter,

C is centre

Radius=AC

Therefore using distance formula

AC=

$\sqrt{ { (- 3 + 2)}^{2} } + \sqrt{ {(7 - 5)}^{2} } \\ \sqrt{1 + 4} = \sqrt{5}$

Therefore the length of radius is

$\sqrt{5} \: units$

Answer 2

Step-by-step explanation:

Given points are A(-3,7) and C(-2,5).

∴ Radius = √(-3 + 2)² + (7 - 5)²

               = √(-1)² + (2)²

               = √1 + 4

               = √5

Therefore, length of AC = √5 units.

Note:

You are saying that the answer should be 13 units. Then, the question should be C(-2,5) and A(3,-7).

Now,

AC = √(3 + 2)² + (-7 - 5)²

     = √5² + 12²

     = √169

     = 13 units.

Hope it helps!