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If a circle has a radius of 7 cm, what is its area? (2020)

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Question: If a circle has a radius of 7 cm, what is its area? (2020)

Options:

  1. 154 cm²
  2. 49 cm²
  3. 28 cm²
  4. 14 cm²

Correct Answer: 154 cm²

Exam Year: 2020

Solution:

The area of a circle is calculated using A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

If a circle has a radius of 7 cm, what is its area? (2020)

Practice Questions

Q1
If a circle has a radius of 7 cm, what is its area? (2020)
  1. 154 cm²
  2. 49 cm²
  3. 28 cm²
  4. 14 cm²

Questions & Step-by-Step Solutions

If a circle has a radius of 7 cm, what is its area? (2020)
  • Step 1: Identify the formula for the area of a circle, which is A = πr².
  • Step 2: Substitute the radius (r) into the formula. Here, the radius is 7 cm.
  • Step 3: Calculate r² (7²). This equals 49.
  • Step 4: Multiply 49 by π to find the area. So, A = 49π.
  • Step 5: If needed, approximate π as 3.14 to calculate the area. Thus, A ≈ 49 × 3.14.
  • Step 6: Calculate 49 × 3.14, which is approximately 154 cm².
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.
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