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# A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of t...

### Question

A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the center of the circle

### Options

A) 2.5cm

B) 3.0cm

C) 3.5cm

D) 4.0cm

The correct answer is D.

### Explanation:

$$5^{2}=3^{2}+x^{2}\\25-9=x^{2}\\16=x^{2}\Rightarrow x=4.0$$

## Dicussion (1)

• $$5^{2}=3^{2}+x^{2}\\25-9=x^{2}\\16=x^{2}\Rightarrow x=4.0$$

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