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A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)

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Question: A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)

Options:

  1. 154 cm²
  2. 144 cm²
  3. 160 cm²
  4. 150 cm²

Correct Answer: 154 cm²

Solution: 

Area of a circle = πr² = (22/7) × (7)² = (22/7) × 49 = 154 cm².

A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)

Practice Questions

Q1
A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)
  1. 154 cm²
  2. 144 cm²
  3. 160 cm²
  4. 150 cm²

Questions & Step-by-Step Solutions

A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 22/7)
  • 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 and the radius (r) with 7 cm into the formula.
  • Step 3: Calculate the square of the radius: (7)² = 49.
  • Step 4: Multiply π (22/7) by the squared radius (49): (22/7) × 49.
  • Step 5: Perform the multiplication: 22 × 49 = 1078, then divide by 7: 1078 ÷ 7 = 154.
  • Step 6: Conclude that 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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