25.5k views
0 votes
In circle F, what is the measure of arc CB?

In circle F, what is the measure of arc CB?-example-1

1 Answer

4 votes

Answer:

70° is the measure of arc CB

Explanation:

In circle F

F is center of circle.

We need to find arc CB. It would be also same as central angle of CB at F (∠CFB)

∠CAB=35°

We can see ∠CAB and ∠CFB lie on same arc but ∠CAB on circle and ∠CFB at center.

If two angles subtended on same arc then the angle at the center is twice the angle at the lie on circle.

∠CFB = 2 ∠CAB

But ∠CAB = 35°

∠CFB=2 x 35° = 70°

Thus, 70° is the measure of arc CB

In circle F, what is the measure of arc CB?-example-1
User Miro Hudak
by
8.7k points

No related questions found