The area of a circle in terms of pi is 56 pi m². Find the value of the radius. Give your answer as a simplified surd

2√14

Step-by-step explanation:

The area of a circle is A = πr², where r is radius. Since the area is 56π, we can divide π from both sides to find r² = 56. The square root of 56 is √56, which can be rewritten to √8×√7. The square root of 8 is equal to 2√2, so the simplified value for radius is 2√2×√7, or 2√14.

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step-by-step explanation:

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