Question 2: An inscribed angle is formed by lookout tower, campsite #1, and campsite #2. If the angle formed is 30 degrees, describe the relationship between the angle and the arc it intercepts along the circle. You must show all work to receive credit.

Question

gabylovesyou · Answer

attachment

gabylovesyou · Answer

@johnweldon1993 @ikram002p @Compassionate

jdoe0001 · Answer

http://ts4.mm.bing.net/th?id=HN.607999053951864151&pid=15.1&P=0

jdoe0001 · Answer

inscribed angle theorem,thus

gabylovesyou · Answer

Campsite #1, lookout tower, and campsite #2 form a central angle within the circle. If the angle formed is 120°, describe the relationship between the angle and the arc it intercepts. You must show all work to receive credit. @jdoe0001

jdoe0001 · Answer

same as before

jdoe0001 · Answer

http://www.mathsisfun.com/geometry/circle-theorems.html

gabylovesyou · Answer

so for both, i put that the inscribed angle is half of the central angle ? @jdoe0001

gabylovesyou · Answer

@dumbcow

phi · Answer

Campsite #1, lookout tower, and campsite #2 form a central angle within the circle.

A central angle "matches" the arc.
if the central angle is 120 degrees, that means the arc is 120 degrees (out of 360)
in other words,  a central angle of 120 intercepts 1 /3 of the circle's circumference.

phi · Answer

an inscribed angle is always 1/ 2 of the arc or, the arc is 2 times bigger than the inscribed angle Here are some pictures https://en.wikipedia.org/wiki/Inscribed_angle

phi · Answer

For Question 2, with an inscribed angle of 30 degrees, the intercepted arc is 60 degrees