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4 years ago

3. The length of arc EF is 5 in. Find the length of the radius.

Mathematics

2 answers:

Nookie1986 [14]4 years ago

8 0

Length of arc = angle X r
Therefore
Change angle deg to rad
30 X pie/180 =1/6 pie

Put in equ
5pie = 1/6pie X r
r = 5pie / (1/6 pie )
r = 30

KiRa [710]4 years ago

3 0

Answer:

radius = 30 in

Step-by-step explanation:

EF = circumference × fraction of circle, substitute values

5π = 2πr × $\frac{30}{360}$ ← where r is the radius

5π = 2πr × $\frac{1}{12}$

Multiply both sides by 12 to clear the fraction

60π = 2πr ( divide both sides by 2π )

$\frac{60\pi }{2\pi }$ = r, thus

r = 30 in

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