Question

Find Arc Length

Answer 1

hi, i need helping with both parts of this question! i know that delta = s / r (in radians), but i can't seem to understand how to find the angle

Answer 2

i'm also going to assume r = 7.5

Answer 3

there is one information just r.

Answer 4

yes, the only known variable is 'r'. but it seems that there's a way to find the numerical value of theta

Answer 5

theta is approximately 60 degree

Answer 6

you can make an estimate of the angle theta
the slope is about 6.6
so find the angle whose tangent is 6.6

Answer 7

that is 81 degrees to the nearest degree

Answer 8

yes, I get height 8.4 and 1.33 to the right
so 90 - arctan(1.33/8.4) = 81

Answer 9

from this you can find the arc length s

Answer 10

using radius of 7.5

Answer 11

thank you! i'll try to find s

Answer 12

@phi i think its 80 cuz i use long method

Answer 13

yeah, it's 80!

Answer 14

@phi check my frw

Answer 15

i figured out s, it's 10.5 (1.396rad * 7.5). thank you all for your help! :)

Answer 16

yw

Answer 17

@dinamix what do you mean by the long method?