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If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)

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Question: If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)

Options:

  1. 154 cm²
  2. 44 cm²
  3. 77 cm²
  4. 88 cm²

Correct Answer: 154 cm²

Solution: 

Area = π × radius² = (22/7) × (7 cm)² = 154 cm².

If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)

Practice Questions

Q1
If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)
  1. 154 cm²
  2. 44 cm²
  3. 77 cm²
  4. 88 cm²

Questions & Step-by-Step Solutions

If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)
Correct Answer: 154 cm²
  • Step 1: Identify the formula for the area of a circle, which is Area = π × radius².
  • Step 2: Substitute the value of π with 22/7.
  • Step 3: Substitute the radius value (7 cm) into the formula: Area = (22/7) × (7 cm)².
  • Step 4: Calculate (7 cm)², which is 49 cm².
  • Step 5: Now multiply (22/7) by 49 cm²: Area = (22/7) × 49 cm².
  • Step 6: Simplify the multiplication: 49 ÷ 7 = 7, so Area = 22 × 7 cm².
  • Step 7: Finally, calculate 22 × 7, which equals 154 cm².
  • Area of a Circle – The area of a circle is calculated using the formula A = π × r², where r is the radius.
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