Question

If YV = 28in, find the length of VYX.

Answer 1

Do you see how they're equal?



That means YX + WX = 117

and we know that WX is 15

so YX + 15 = 117

what is YX = ??

Answer 2

102?

Answer 3

yes, now let's try to find out the 'x'

Answer 4

those are vertical angles so they're equal to each other

we know that all the angles add up to 360 so

117 + 102 + 15 + x + x = 360

can you solve for x?

Answer 5

63

Answer 6

yes

so we have all the numbers, what is the angle for VYX

Answer 7

282?

Answer 8

yes so now we have to use the arc length formula

\(s = \dfrac{\theta}{360} 2\pi r\)

Answer 9

our angle is 282

and the diameter is 28

so what is the radius?

remember, the radius is half of the diameter

Answer 10

14

Answer 11

good so now plug in the numbers

\( s = \dfrac{282}{360} \times 2 \times \pi\times (14)\)

just multiply and divide

Answer 12

68.87?

Answer 13

That's correct

Answer 14

VYX is 68.87

Answer 15

yes, that's the length of it

Answer 16

thank you

Answer 17

you're welcome