MATHEMATICS

JAMB 2002 - Question 28

Mathematics 2002 JAMB Past Questions - Question 28: A chord of a circle subtends an angle of 120 at the center of a circle of diameter 4√3cm. Calculate the area of the major sector.

A chord of a circle subtends an angle of 120 at the center of a circle of diameter 4√3cm. Calculate the area of the major sector.
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

A

Explanation

The angle subtended by the chord at the center of the circle is 120 degrees. Since the diameter of the circle is 4√3 cm, the radius of the circle is half of the diameter, which is 2√3 cm.To calculate the area of the major sector, we need to find the length of the arc and the area of the corresponding sector.The length of the arc can be calculated using the formula:Arc Length = (θ/360) * 2πrwhere θ is the angle in degrees and r is the radius of the circle.Arc Length = (120/360) * 2π * 2√3          = (1/3) * 2π * 2√3          = (2/3)π√3 cmThe area of the sector can be calculated using the formula:Sector Area = (θ/360) * πr²Sector Area = (120/360) * π * (2√3)²            = (1/3) * π * 12            = 4π cm²Therefore, the area of the major sector is 4π cm².

Frequently Asked Questions

Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.

You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.

Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.

Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.

Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.