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If the diameter of a circle is 10 cm, what is its area? (2019)

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Question: If the diameter of a circle is 10 cm, what is its area? (2019)

Options:

  1. 25π cm²
  2. 50π cm²
  3. 100π cm²
  4. 75π cm²

Correct Answer: 25π cm²

Exam Year: 2019

Solution: 

Area = π * (radius)² = π * (5)² = 25π cm²

If the diameter of a circle is 10 cm, what is its area? (2019)

Practice Questions

Q1
If the diameter of a circle is 10 cm, what is its area? (2019)
  1. 25π cm²
  2. 50π cm²
  3. 100π cm²
  4. 75π cm²

Questions & Step-by-Step Solutions

If the diameter of a circle is 10 cm, what is its area? (2019)
  • Step 1: Identify the diameter of the circle, which is given as 10 cm.
  • Step 2: Calculate the radius of the circle by dividing the diameter by 2. So, radius = 10 cm / 2 = 5 cm.
  • Step 3: Use the formula for the area of a circle, which is Area = π * (radius)².
  • Step 4: Substitute the radius into the formula. So, Area = π * (5 cm)².
  • Step 5: Calculate (5 cm)², which is 25 cm².
  • Step 6: Multiply by π. So, Area = 25π cm².
  • Circle Area Calculation – Understanding the formula for the area of a circle, which is A = π * r², where r is the radius.
  • Radius vs Diameter – Recognizing the relationship between diameter and radius, where the radius is half of the diameter.
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