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What is the area of a circle with a diameter of 16 cm? (2023) 2023

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Question: What is the area of a circle with a diameter of 16 cm? (2023) 2023

Options:

  1. 64π cm²
  2. 32π cm²
  3. 16π cm²
  4. 8π cm²

Correct Answer: 64π cm²

Exam Year: 2023

Solution: 

Radius = diameter/2 = 16/2 = 8 cm. Area = πr² = π(8)² = 64π cm².

What is the area of a circle with a diameter of 16 cm? (2023) 2023

Practice Questions

Q1
What is the area of a circle with a diameter of 16 cm? (2023) 2023
  1. 64π cm²
  2. 32π cm²
  3. 16π cm²
  4. 8π cm²

Questions & Step-by-Step Solutions

What is the area of a circle with a diameter of 16 cm? (2023) 2023
  • Step 1: Identify the diameter of the circle, which is given as 16 cm.
  • Step 2: Calculate the radius by dividing the diameter by 2. So, radius = 16 cm / 2 = 8 cm.
  • Step 3: Use the formula for the area of a circle, which is Area = πr².
  • Step 4: Substitute the radius into the formula. So, Area = π(8 cm)².
  • Step 5: Calculate (8 cm)², which is 64 cm².
  • Step 6: Multiply by π to find the area. So, Area = 64π cm².
  • Circle Area Calculation – Understanding how to calculate the area of a circle using the formula A = πr², where r is the radius.
  • Diameter to Radius Conversion – Knowing how to convert diameter to radius by dividing the diameter by 2.
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