One chord of a circle is given as $20.5 ext{ cm}$. Then the radius $(r)$ of the circle must be:

Question

One chord of a circle is given as $20.5 	ext{ cm}$. Then the radius $(r)$ of the circle must be:

Accepted Answer

**Solution:**

1. The maximum length of a chord in a circle is the diameter.

2. Given chord length is $20.5 	ext{ cm}$.

3. Since the diameter is the longest chord, the diameter must be at least $20.5 	ext{ cm}$.

4. Therefore, the radius $r$ (which is half the diameter) must satisfy:
   
   $$r \geq \frac{20.5}{2} = 10.25 	ext{ cm}$$

5. Hence, the radius must be greater than or equal to $10.25 	ext{ cm}$.

**Answer:** $r \geq 10.25$

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