Chapter 6.CR, Problem 2CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Find the length of a chord that is 8 cm from the center of the circle that has a radius length of 17 cm.

To determine

**To find:** The length of the chord.

Explanation

**Theorem:**

1) A radius that is perpendicular to a chord bisects the chord.

2) If a line through the centre of a circle bisects a chord other than a diameter, then it is perpendicular to the chord.

**Calculation:**

Given that the length of the radius of a circle is 17 cm.

The distance from the center of the circle to the chord = 8 cm

Let the length of the chord be

Let O be the center of the circle and AB be a chord.

So, AB =

The distance from the center of the circle to the chord = OP = 8 cm.

By theorem,

So, â—¿

By theorem,

So,

So,

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