My Learning Cart
?
Categories
Account

In a circle, if the angle subtended by an arc at the center is 120 degrees, what

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In a circle, if the angle subtended by an arc at the center is 120 degrees, what is the angle subtended at any point on the remaining part of the circle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Correct Answer: 60 degrees

Solution: 

The angle subtended at any point on the remaining part of the circle is half of the angle at the center, so it is 60 degrees.

In a circle, if the angle subtended by an arc at the center is 120 degrees, what

Practice Questions

Q1
In a circle, if the angle subtended by an arc at the center is 120 degrees, what is the angle subtended at any point on the remaining part of the circle?
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

In a circle, if the angle subtended by an arc at the center is 120 degrees, what is the angle subtended at any point on the remaining part of the circle?
  • Step 1: Understand that an arc is a part of the circle defined by two points on the circle.
  • Step 2: Recognize that the angle subtended by the arc at the center of the circle is given as 120 degrees.
  • Step 3: Know that the angle subtended by the same arc at any point on the remaining part of the circle is always half of the angle at the center.
  • Step 4: Calculate half of 120 degrees, which is 120 / 2 = 60 degrees.
  • Step 5: Conclude that the angle subtended at any point on the remaining part of the circle is 60 degrees.
  • Inscribed Angle Theorem – The angle subtended by an arc at any point on the circumference of the circle is half the angle subtended at the center of the circle.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks