What is the area of a circle whose circumference is 25cm rounded to the nearest whole number?
Question
What is the area of a circle whose circumference is 25cm rounded to the nearest whole number?
Solution
Sure, here are the steps to find the area of a circle given its circumference:
Step 1: The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. We know that the circumference is 25 cm, so we can set up the equation 25 = 2πr.
Step 2: Solve for r. Divide both sides of the equation by 2π to isolate r. This gives us r = 25 / (2π) ≈ 3.98 cm.
Step 3: Now that we have the radius, we can find the area of the circle. The formula for the area of a circle is A = πr². Substituting r = 3.98 cm into this formula gives us A = π(3.98)² ≈ 49.87 cm².
Step 4: Round to the nearest whole number. The area of the circle is approximately 50 cm².
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