Respuesta :
Answer:
2.36 miles
Step-by-step explanation:
radius, r = 3 miles
∅ = 45°
Length of an arc = ∅/360 * 2πr
= 45/360 * 2 * 3.14 * 3
= 2.36 miles
Answer:The length of the arc is 3/4 miles.
explanation;
REMEMBER
Step-by-step explanation:The formula for the length of an arc is =m/360*C
where is the arc length, C is the circumference, and m is the measure of the arc in degrees.
The arc's length depends on the arc's measure and the circle's circumference. You already know that the arc's measure is 45°, so find the circle's circumference.
First, find the circumference.
C
= 2r
= 2(3) Plug in r=3
= 6 Multiply
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The circumference is 6 miles.
Now, find the length of the arc.
=C * m/360
= 6 * 45/360 Plug in C= 6 and m =45
=3/4
The length of the arc is 3/4 miles. <---------Multiply and simplify
so you will get 3/4 after multiplying and simplifying
