In a circle of radius `5\ c m ,\ A B\ a n d\ A C` are two chords such that `A B=A C=6c mdot` Find the length of the chord `B C`

Explanation

To find the length of the chord \( BC \) in a circle with radius \( 5 \, \text{cm} \) where the chords \( AB \) and \( AC \) each measure \( 6 \, \text{cm} \), we can follow these steps:

### Step 1: Draw the Circle and Chords
Draw a circle with center \( O \) and radius \( 5 \, \text{cm} \). Mark points \( A \), \( B \), and \( C \) on the circle such that \( AB = AC = 6 \, \text{cm} \).

### Step 2: Identify the Midpoint
Let \( M \) be the midpoint of chord \( BC \). Since \( M \) is the midpoint, we have \( BM = MC \).

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