The diameter of a circle is 34 centimetres. What is the circle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Question
The diameter of a circle is 34 centimetres. What is the circle's area?
Use
𝜋 ≈ 3.14
and round your answer to the nearest hundredth.
Solution
Step 1: Understand the formula for the area of a circle, which is A = πr², where r is the radius of the circle.
Step 2: Given that the diameter of the circle is 34 centimeters, we can find the radius by dividing the diameter by 2. So, r = 34/2 = 17 centimeters.
Step 3: Substitute the radius into the formula for the area of a circle. So, A = π(17)².
Step 4: Calculate the area. Using the approximation for π given in the question (π ≈ 3.14), the area is A = 3.14 * (17)² = 907.46 square centimeters.
Step 5: Round the answer to the nearest hundredth, so the area of the circle is approximately 907.46 square centimeters.
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