Segment Lengths in Circles

What is the relationship between the radius and diameter of a circle?

• The diameter is equal to 2 times the radius.

• The radius is half the diameter.

• The radius is equal to 2 times the diameter.

• The radius and diameter are unrelated.

Tags

CCSS.4.OA.A.1

CCSS.4.OA.A.2

If the diameter of a circle is 10 cm, what is the radius?

• 12 cm

• 8 cm

• 3 cm

• 5 cm

Tags

CCSS.7.G.B.4

What is the formula to calculate the circumference of a circle?

• 2 * r

• r^2

• 2 * π * r

• π * r

Tags

CCSS.HSG.GMD.A.1

If the radius of a circle is 5 cm, what is the circumference?

• 10π cm

• 25 cm

• 3π cm

• 15π cm

Tags

CCSS.HSG.GMD.A.1

What is a chord in a circle?

• A chord in a circle is a line segment whose endpoints lie on the circle.

• A chord in a circle is a line segment connecting the center to a point on the circle.

• A chord in a circle is a line segment that is always longer than the circle's diameter.

• A chord in a circle is a line segment that intersects the circle at two points.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

How is the length of a chord related to the radius of a circle?

• The length of a chord in a circle is inversely proportional to the radius.

• The length of a chord in a circle is directly proportional to the radius.

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

• The length of a chord in a circle has no relation to the radius.

Tags

CCSS.HSG.C.A.2

If the radius of a circle is 4 cm and the chord length is 6 cm, what is the distance from the center of the circle to the chord?

• 5 cm

• 2 cm

• sqrt(7) cm

• 3 cm

Tags

CCSS.HSG.C.A.2

What is the formula to calculate the length of a chord in a circle?

• length = 2 * radius * sin(angle/2)

• length = 2 * radius * cos(angle/2)

• length = 2 * radius * tan(angle/2)

• length = radius * sin(angle)

Tags

CCSS.HSG.C.A.2

If the radius of a circle is 8 cm and the chord length is 10 cm, what is the distance from the center of the circle to the chord?

• sqrt(41) cm

• 7 cm

• 12 cm

• sqrt(39) cm

Tags

CCSS.HSG.C.A.2

CCSS.HSG.SRT.C.8

How does the length of a chord change as it moves closer to the center of the circle?

• The length of the chord becomes infinite.

• The length of the chord remains constant.

• The length of the chord decreases.

• The length of the chord increases.

Tags

CCSS.HSG.C.A.2