A circle has a central angle measuring 10 radians that intersects an arc of length 33 cm. What is the length of the radius of
the circle? Round your answer to the nearest whole cm. Use 3.14 for
11 cm
15 cm
22 cm
41 cm​

Respuesta :

Answer:

it 15cm im sure of it tell me if you get it right

Answer:

15 cm

Step-by-step explanation:

The central angle for this problem is:

[tex]\frac{7 \pi}{10}rad \approx 2.2 rad[/tex]

To solve this problem, we have to use an expression that relates, central angle, arc length and radius, which is:

[tex]s=\theta r[/tex]

So, we isolate the radius and solve:

[tex]r=\frac{s}{\theta}=\frac{33cm}{2.2rad}=15cm[/tex]

Therefore, the right answer is the second option.