Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning

I've attached the graph showing the colored regions of the archery target.

The scores for the colored regions are;

Yellow: 10 points

Red: 8 points

Blue: 6 points

Green: 4 points

White: 2 points

16

Step-by-step explanation:

From the graph, At coordinate of (-5,4), the colored region is blue which means a score of 6 points.

From the graph, At coordinates of (-8,7), the colored region is red which means a score of 8 points

From the graph, At coordinates of (1,6), the colored region is white which means a score of 2 points

Thus, total score = 6 + 8 + 2 = 16

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

a c

step-by-step explanation: