PreCalculuscheck answers
posted by Lucy .
Find the degree measure of the central angle whose intercepted arc measures 8cm in a circle of radius 15cm.
Answer: 401.07 degrees

401.07 degrees is the same as 41.07 degrees. That would be in the fourth quadrant. There should have been a figure associated with this problem showing the direction and place that the arc was located.
Let's just consider the size of the subtended angle.
An 8 cm arc on a 15 cm radius is 8/15 radian or
(8/15)(180/pi) = 96/pi = 30.56 degrees
I have no idea how you or your textbook came up with 401.07 degrees
Respond to this Question
Similar Questions

Trigonometry
FInd the arc length intercepted by a central angle of 46 degrees 24'6" in a circle with a radius of 35.62m 
trigonometry
please check my answers. 1.Find the area of the sector of a circle. r=11.8cm, thetapi/7 radians I got 31.2cmsquared 2.Find the radius of a circle in which a central angle of pi/6radian determines a sector of area 76square meters. … 
pre calcalus
a circle with 4 inch radius, find length of arc when intercepted by central angle of 240 degrees 
geometry
A circle has a radius of 3 feet and a central angle DEF that measures 60°. What is the length of the intercepted arc DF? 
Calculus
Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95 degrees 
Math trig.
find the length of the arc intercepted by a central angle of 35 degree 28' in a circle of radius 15ft....i cant figure out how to get it ? 
trig
Find the length of the circular arc intercepted by a central angle of 20 degrees in a circle or radius 5cm 
math
A circular arc has measure 22ft and is intercepted by a central angle of 27 degrees . Find the radius of the circle. 
Precalculus
The length of the radius of a circle is 12 cm at the measure of a central angle, alpha, is 5pi/6. What is the length of the intercepted arc? 
Math
A circle has a radius of 8cm . Find the length s of the arc intercepted by a central angle of 110° .