Hi there! :)
Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:
Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°
Good luck to Jonathan. I hope he gets his sport set soon.
The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:
The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).
Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared
Therefore, your answer is 16 units squared.
I hope this Helps!
-Sinnamin
Answer:
d = 4
Step-by-step explanation: