Chords in a Circle

The video tutorial explores the properties of circles, including components like radius, diameter, and arcs. It explains the concept of chords and segments, and how they divide the circle. The tutorial also discusses the relationship between the length of a chord and the angle it subtends at the center, concluding with a theorem that equal chords subtend equal angles at the center.

What is the term used for the longer arc between two points on a circle?

• Chord

• Minor arc

• Major arc

• Diameter

What is the line segment called that connects two points on a circle?

• Tangent

• Chord

• Diameter

• Radius

Which segment is formed by a chord and the minor arc?

• Minor segment

• Radius

• Major segment

• Diameter

What happens to the angle at the center of a circle as the length of the chord increases?

• It becomes zero

• It increases

• It remains the same

• It decreases

What can be concluded about the angles subtended by equal chords at the center of a circle?

• They are supplementary

• They are complementary

• They are equal

• They are unequal