Chord and Arc

If two chords are equal in length, what can you say about their distances from the center?

• The distances from the center are unequal.

• The distances from the center are equal.

• One chord is closer to the center than the other.

• The distances from the center are random.

Tags

CCSS.HSG.C.A.2

If a circle has a radius of 12 cm, what is the length of a chord that is 5 cm away from the center?

• 15.00 cm

• 21.82 cm

• 25.00 cm

• 18.00 cm

Tags

CCSS.HSG.C.A.2

How do you draw a perpendicular line from the center to a chord?

• Draw a line from the center to the edge of the circle.

• Draw a line from the center to the midpoint of the chord.

• Draw a line parallel to the chord from the center.

• Connect the endpoints of the chord directly.

If the radius of a circle is 10 cm and the distance from the center to the chord is 6 cm, what is the length of the chord?

• 20 cm

• 16 cm

• 8 cm

• 12 cm

Tags

CCSS.HSG.C.A.2

State the theorem that relates the perpendicular from the center to a chord.

• The perpendicular from the center to a chord creates a right angle with the radius.

• The center of a circle is equidistant from all points on the circumference.

• The perpendicular from the center of a circle to a chord bisects the chord.

• A chord is always longer than the radius of the circle.

If the radius is 5 cm and the distance from the center to the chord is 3 cm, what is the length of the chord?

• 6 cm

• 8 cm

• 10 cm

• 4 cm

Tags

CCSS.HSG.C.A.2

What is the significance of the perpendicular drawn from the center to the chord?

• The perpendicular from the center to a chord bisects the chord.

• The perpendicular from the center divides the circle into two equal halves.

• The perpendicular from the center creates a right angle with the radius.

• The perpendicular from the center extends beyond the chord.

Can a chord be longer than the diameter of the circle? Why or why not?

• No, a chord cannot be longer than the diameter of the circle.

• Chords can be longer than the diameter if the circle is not perfect.

• A chord can be longer than the diameter in a non-Euclidean space.

• Yes, a chord can be longer than the diameter if it is curved.

Tags

CCSS.HSG.C.A.2

How do you find the distance from the center to a chord if you know the length of the chord and the radius?

• d = r - (c/2)

• d = c² - r²

• d = c/2 + r

• d = √(r² - (c/2)²)

Tags

CCSS.HSG.C.A.2

What happens to the length of the chord as the distance from the center increases?

• The length of the chord decreases as the distance from the center increases.

• The length of the chord increases until it reaches the diameter, then decreases.

• The length of the chord is always equal to the radius of the circle.

• The length of the chord remains constant regardless of the distance.