Question

If length of a chord passing through the centre of the circle is 10 cm, what is the radius of the circle?

Answer 1

Solution:

The radius is 5 cm.

Note: Any line passing through the center of the circle and touching the circumference is the diameter.

We know that,

$\implies$ $\huge{\boxed{\sf{d=2r}}}$

Given:

Length of the chord (d) = 10 cm

By substituting the value, we get:

$\implies$ d = 2r

$\implies$ 10 = 2r

$\implies$ 10/2 = r

$\implies$ 5 = r

Therefore:

The radius of the circle is 5 cm.

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Answered by: Niki Swar, Goa❤️

Answer 2

Answer:

Step-by-step explanation:

Chord passing to center of circle is nothing but diameter -d , d-10cm

Radius -r

r- d/2

r-10/2

r-5cm

Radius -5cm