Question

What is the length of the blue in the circle o below

Answer 1

Answer:

Option D. 8.53 units

Step-by-step explanation:

we know that

The triangle OAB is congruent with the triangle OCD

because

OA=OB=OC=OD=radius circle O

AB=CD

therefore

The height of both triangles is equal to 8.53 units

The segment blue is equal to 8.53 units

Answer 2

Answer:

D. 8.53 units

Step-by-step explanation:

In the given circle, we can form two triangles:

i) ΔAOB connecting the radius OA and OB

ii) ΔCOD connecting the radius OC and OD.

We know that all the radius in a circle are the same measure.

We are given AB = 12.48 = CD 12.48 units.

Therefore, by SSS (Side-side-side) postulate the triangles AOB and COD are the congruent.

Therefore, the height of the triangle must be equal.

The height of triangle AOB is 8.53 units

The blue line is the height of the triangle COD.

Therefore, the length of the blue is 8.53 units.