Question

If the circumference of the circle below is 72, what is the length of XY (the minor arc)?

Answer 1

Circumference is 72.
Length of minor arc is 8.
Answer choice:
D. 8

Answer 2

Option D. 8

Explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

Therefore 2πr = 72

πr =
`(72)/(2)=36`

r =
`(36)/(\pi )`

Angle at center formed by minor arc XY = 40° =
`2(\pi )/(9)`

Length of minor arc XY =
`r\theta`

=
`(36)/(\pi ).((2\pi )/(9))`

=
`(72\pi )/(9\pi )=8`

Therefore option D. 8 is the correct option.