Chapter 6.CR, Problem 1CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

The length of the radius of a circle is 15 mm. The length of a chord is 24 mm. Find the distance from the center of the circle to the chord.

To determine

**To find:** The distance from the center of the circle to 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 15 mm.

The length of the chord is 24 mm.

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

So, AB = 24 mm and OB = radius = 15 mm

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

By theorem,

So, â—¿

By theorem,

So,

So,

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