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The area of a circle is 3.14 square metres. What is the circle's diameter?Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Question

The area of a circle is 3.14 square metres. What is the circle's diameter?

Use
\pi \approx 3.14

and round your answer to the nearest hundredth.

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Solution

Sure, here's how you can find the diameter of the circle:

Step 1: The formula for the area of a circle is A = πr², where A is the area and r is the radius of the circle.

Step 2: We know that the area A is 3.14 square meters. So, we can set up the equation as follows: 3.14 = πr².

Step 3: Since we are given that π is approximately 3.14, we can substitute this value into the equation: 3.14 = 3.14r².

Step 4: To solve for r, we divide both sides of the equation by 3.14: r² = 1.

Step 5: To find r, we take the square root of both sides: r = 1.

Step 6: The diameter of a circle is twice the radius, so the diameter d = 2r.

Step 7: Substituting the value of r into this equation gives us d = 2*1 = 2 meters.

So, the diameter of the circle is approximately 2 meters.

This problem has been solved

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