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Calculate the area of a circle with a radius of 7 cm (use π = 22/7).

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Question: Calculate the area of a circle with a radius of 7 cm (use π = 22/7).

Options:

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

Correct Answer: 154 cm²

Solution: 

Area = πr² = (22/7) × (7 cm)² = 154 cm².

Calculate the area of a circle with a radius of 7 cm (use π = 22/7).

Practice Questions

Q1
Calculate the area of a circle with a radius of 7 cm (use π = 22/7).
  1. 154 cm²
  2. 44 cm²
  3. 77 cm²
  4. 88 cm²

Questions & Step-by-Step Solutions

Calculate the area of a circle with a radius of 7 cm (use π = 22/7).
Correct Answer: 154 cm²
  • Step 1: Identify the formula for the area of a circle, which is Area = πr².
  • Step 2: Substitute the value of π with 22/7.
  • Step 3: Substitute the radius (r) with 7 cm in the formula.
  • Step 4: Calculate (7 cm)², which is 7 cm × 7 cm = 49 cm².
  • Step 5: Multiply 22/7 by 49 cm². First, calculate 22 × 49 = 1078.
  • Step 6: Divide 1078 by 7 to get the area. 1078 ÷ 7 = 154 cm².
  • Step 7: Write the final answer: The area of the circle is 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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