Answer :

To find the radius of a circle with an area of 6 m², use the formula A = πr². Solving for r, we find the radius to be approximately 1.38 meters.

To determine the radius of a circle given its area, we rely on the formula for the area of a circle: A = πr², where A represents the area and r represents the radius.

Given:

  • Area, A = 6 m²

To find the radius, we can rearrange the formula to solve for r:

  1. Start with the area formula: A = πr²
  2. Substitute the value of the area: 6 = πr²
  3. Isolate r² by dividing both sides by π: r² = 6/π
  4. Calculate the value: r² ≈ 6/3.1416 ≈ 1.910
  5. Take the square root of both sides to solve for r: r ≈ √1.910 ≈ 1.38

Therefore, the radius of the circle is approximately 1.38 meters.

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