My Learning Cart

What is the area of a sector of a circle with radius 6 cm and angle 90 degrees?

Practice Questions

Q1
What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
  1. 9π cm²
  2. 12π cm²
  3. 18π cm²
  4. 6π cm²

Questions & Step-by-Step Solutions

What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
  • Step 1: Identify the radius of the circle. Here, the radius (r) is 6 cm.
  • Step 2: Identify the angle of the sector. Here, the angle (θ) is 90 degrees.
  • Step 3: Use the formula for the area of a sector: Area = (θ/360) × πr².
  • Step 4: Substitute the values into the formula: Area = (90/360) × π(6)².
  • Step 5: Simplify the fraction 90/360 to 1/4.
  • Step 6: Calculate (6)², which is 36.
  • Step 7: Multiply (1/4) by 36π: Area = (1/4) × 36π = 9π.
  • Step 8: Write the final answer: The area of the sector is 9π cm².
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