A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm

Respuesta :

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]

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