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A circle has a radius of 7 cm. What is the area of the circle?

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Question: A circle has a radius of 7 cm. What is the area of the circle?

Options:

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

Correct Answer: 154 cm²

Solution: 

Area of a circle = πr². Using π ≈ 3.14, Area = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².

A circle has a radius of 7 cm. What is the area of the circle?

Practice Questions

Q1
A circle has a radius of 7 cm. What is the area of the circle?
  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?
  • Step 1: Identify the formula for the area of a circle, which is Area = πr².
  • Step 2: Note the radius of the circle, which is given as 7 cm.
  • Step 3: Substitute the radius into the formula: Area = π × (7)².
  • Step 4: Calculate (7)², which is 49.
  • Step 5: Now substitute this value back into the formula: Area = π × 49.
  • Step 6: Use the approximation for π, which is about 3.14. So, Area = 3.14 × 49.
  • Step 7: Multiply 3.14 by 49 to get the area: 3.14 × 49 = 153.86 cm².
  • Step 8: Round 153.86 to the nearest whole number, which 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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