Alerts Wishlist Cart

If the radius of a circle is tripled, how does the area change? (2019)

Practice Questions

Q1
If the radius of a circle is tripled, how does the area change? (2019)
  1. Increases by 3 times
  2. Increases by 6 times
  3. Increases by 9 times
  4. Remains the same

Questions & Step-by-Step Solutions

If the radius of a circle is tripled, how does the area change? (2019)
  • Step 1: Understand the formula for the area of a circle, which is Area = πr².
  • Step 2: Identify the original radius of the circle as 'r'.
  • Step 3: If the radius is tripled, the new radius becomes '3r'.
  • Step 4: Substitute the new radius into the area formula: Area = π(3r)².
  • Step 5: Calculate (3r)², which equals 9r².
  • Step 6: Now, substitute this back into the area formula: Area = π(9r²).
  • Step 7: This simplifies to Area = 9πr².
  • Step 8: Compare the new area (9πr²) to the original area (πr²).
  • Step 9: Conclude that the new area is 9 times the original area.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely