Circumference of a circle

Step-by-step explanation:

the straight sides are just 4.5 *2 = 9 cm

the arcs are  2r * Ф/360

where Ф= 50 for this problem

and r = 8

the inner arc is  2(3.5) *50/360 = 3.05432

the outer arc is 2(8)*50/360 = 6.98131

total is 19.0356

to 3 sig figs is 19.036  :)

if x = 1, then the answer is 3.5

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west