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.
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.
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