Warm Up Solutions

Write the word that best describes the image using center, diameter, or radius.

radius

center

diameter

Note

Q: What is the name of the circle for problems 1–3?

A: Circle A

Q: What is the name of the radius?

A: Segment AB or BA

Q: What is the name of the diameter?

A: Segment BC or CB

$(- 0.55, 0), (7.05, 2.5) (\frac{- 0.55 + 7.05}{2}, \frac{0 + 2.5}{2})$

$M (3.25, 1.25)$

Note

Q: What is the name of the midpoint of a circle?

A: The midpoint of the diameter is called the center of the circle.

Use the distance formula to calculate the length of segment GH and segment GM from problem 4.

$G H = \sqrt{{(- 0.55 - 7.05)}^{2} + {(0 - 2.5)}^{2}} G H = 8$

Segment GH is 8 units.

$G M = \sqrt{{(- 0.55 - 3.25)}^{2} + {(0 - 1.25)}^{2}} G M = 4$

Segment GM is 4 units.

Note

Use the midpoint to calculate the length of segment GM.