Answer:
Part 1) The distance between petal A and petal B is 60 degrees
Part 2) The distance between petal A and petal B is 27.21 centimeters
Step-by-step explanation:
Part 1) How far away in degrees is petal A from petal B?
we know that
The circle subtends a central angle of 360 degrees
so
Divide 360 by 6 (the number of petals)
[tex]\frac{360^o}{6}=60^o[/tex]
so
The central angle between petal A and petal B is 60 degrees
therefore
The distance between petal A and petal B is 60 degrees
Part 2) How far away in cm is petal A from petal B?
step 1
Find the circumference of the circle
[tex]C=2\pi r[/tex]
we have
[tex]r=26\ cm[/tex]
substitute
[tex]C=2\pi (26)=52 \pi\ cm[/tex]
step 2
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find the length of an arc by a central angle of 60 degrees
assume
[tex]\pi=3.14[/tex]
[tex]\frac{52\pi }{360^o}=\frac{x}{60^o}\\\\x=52(3.14)(60)/360\\\\x= 27.21\ cm[/tex]
