FAN+MEDAL
Circle A has a radius of 5 cm, and arcs RC, CS, and SM are congruent. To the nearest hundredth, what is the best approximation of the length of arc RC?
https://static.k12.com/eli/ecollege/1549/4_80425/2_68661_15_80743/adbeb0f211c8db2b2ecd4ed3e6fbfd9432ef03aa/media/f7c8ae1eff51b1100d8ca68c990aba5cf57f9136/mediaasset_1077943_1.gif
10.47 cm
6.28 cm
5.24 cm
3.14 cm

Question

FAN+MEDAL
Circle A has a radius of 5 cm, and arcs RC, CS, and SM are congruent. To the nearest hundredth, what is the best approximation of the length of arc RC?
https://static.k12.com/eli/ecollege/1549/4_80425/2_68661_15_80743/adbeb0f211c8db2b2ecd4ed3e6fbfd9432ef03aa/media/f7c8ae1eff51b1100d8ca68c990aba5cf57f9136/mediaasset_1077943_1.gif
10.47 cm
       6.28 cm
       5.24 cm
       3.14 cm

luffingsails · Answer

First calculate the C of the circle.

Each of the arc are congruent but the three of them also form 180 degrees (because they form a straight line).

So, the three of them make up half of the total circumference and they are equal. That will get you to the final answer. Give it a shot.