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If a circle has an area of 50 cm², what is its radius?

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Question: If a circle has an area of 50 cm², what is its radius?

Options:

  1. 5 cm
  2. 7.07 cm
  3. 10 cm
  4. 8 cm

Correct Answer: 7.07 cm

Solution: 

Area = πr², so r = √(Area/π) = √(50/π) ≈ 7.07 cm.

If a circle has an area of 50 cm², what is its radius?

Practice Questions

Q1
If a circle has an area of 50 cm², what is its radius?
  1. 5 cm
  2. 7.07 cm
  3. 10 cm
  4. 8 cm

Questions & Step-by-Step Solutions

If a circle has an area of 50 cm², what is its radius?
  • Step 1: Understand the formula for the area of a circle, which is Area = πr², where r is the radius.
  • Step 2: We know the area is 50 cm², so we can write the equation as 50 = πr².
  • Step 3: To find the radius (r), we need to isolate r in the equation. First, divide both sides by π: r² = 50/π.
  • Step 4: Now, to find r, take the square root of both sides: r = √(50/π).
  • Step 5: Use a calculator to find the value of √(50/π). This gives approximately 7.07 cm.
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.
  • Square Root Calculation – Finding the radius involves taking the square root of the area divided by π.
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