Question

SOS PLEASE HELP WITH THIS QUESTION A 6 petal flower separates this circle into 6 equal sections. See diagram below.

Answer 1

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)

$\frac{360^o}{6}=60^o$

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

$C=2\pi r$

we have

$r=26\ cm$

substitute

$C=2\pi (26)=52 \pi\ cm$

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

$\pi=3.14$

$\frac{52\pi }{360^o}=\frac{x}{60^o}\\\\x=52(3.14)(60)/360\\\\x= 27.21\ cm$