Question

The length of segment AE is 5 centimeters.

Answer 1

Answer/Step-by-step explanation:

Segment AE is a radius of the circle with center of A.

Any segment that has its origin from the center of the Circle, A, and meets at any point along the circumference of the circle, is equally a radius, and would have the same length as segment AE.

Thus:

a. Length of segment CD:

Segment CD is half of the circle. So it is the diameter of the circle.

Diameter of a circle = 2 × length of the radius.

Therefore,

CD = 2 × AE

CD = 2 × 5 (substitution)

CD = 10 cm

b. AB is a radius.

Therefore, AB = AE

AB = 5 cm

c. Any of these segments are also radius of the circle and also have the same length as segment AB:

Segment AG,

Segment AD

Segment FA

Segment AC