Chords in Circles and Arc Length

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

• ∠BEQ > ∠CEQ

• ∠BEQ = ∠CEQ

• ∠BEQ < ∠CEQ

• None of the above

Tags

CCSS.HSG.C.A.2

If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ——–

• equal

• unequal

• different

• none of above

Tags

CCSS.HSG.C.A.2

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

• 80⁰

• 100⁰

• 40⁰

• 60⁰

Tags

CCSS.HSG.C.A.2

In the below figure, the value of ∠ADC is:

• 60⁰

• 30⁰

• 45⁰

• 55⁰

Tags

CCSS.HSG.C.A.2

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

• 45⁰

• 60⁰

• 70⁰

• 90⁰

Tags

CCSS.HSG.C.A.2

Segment of a circle is the region between an arc and ———- of the circle.

• Radius

• Chord

• Diameter

• sector

What is a segment whose endpoints are any two points on the circle?

• Arc

• Chord

• Diameter

• Radius

What is a chord that passes through the center of the circle?

• Arc

• Chord

• Diameter

• Radius

Find the value of x.

• 31,3

• 8

• 16.3

• -8

Tags

CCSS.HSG.C.A.2

In  a circle, if a radius or diameter is perpendicular to a chord, then it____ the chord and its arc.

• equals

• bisects

• arcs

• circles