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What is the area of a circle with a diameter of 10?

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Question: What is the area of a circle with a diameter of 10?

Options:

  1. 25π
  2. 50π
  3. 100π
  4. 75π

Correct Answer: 25π

Solution: 

Area = πr². Diameter = 10, so radius r = 5. Area = π(5)² = 25π.

What is the area of a circle with a diameter of 10?

Practice Questions

Q1
What is the area of a circle with a diameter of 10?
  1. 25π
  2. 50π
  3. 100π
  4. 75π

Questions & Step-by-Step Solutions

What is the area of a circle with a diameter of 10?
  • Step 1: Understand that the area of a circle is calculated using the formula Area = πr².
  • Step 2: Identify the diameter of the circle, which is given as 10.
  • Step 3: Calculate the radius by dividing the diameter by 2. So, radius r = 10 / 2 = 5.
  • Step 4: Substitute the radius into the area formula. Area = π(5)².
  • Step 5: Calculate (5)², which is 25.
  • Step 6: Multiply 25 by π to find the area. So, Area = 25π.
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.
  • Diameter and Radius Relationship – The radius is half of the diameter, which is crucial for calculating the area.
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