Find the length of AB 80° arc
2 answers:
Answer:
11.2
Step-by-step explanation:
The formula for an arc length is 2πr {a=inside angle(in this case 80°) r=radius}
Simplify this formula by dividing the bottom by two and combining pi and r with the top.
80 times 8 is 640, so
plug 640 times pi into a calculator and divide by 180.
you'll get 11.170107etc
Round your answer to the nearest tenth, and you get;
11.2
Sorry the steps are so confusing!
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Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10