Question

22. The circumference of the circle below is
108 meters. If the interior angle n is 60°,
what is the length in meters of arc AB?
F) 5
G) 9
H) 11
J) 12
K) 18

Answer 1

Answer:

The length of arc of circle with interior angle 60° is 18 meter  

Step-by-step explanation:

Given as :

The circumference of circle = C = 108  meters

The interior angle at center of circle = 60°

Let The length of arc = L

So ,

Length of arc = L = $\frac{\Pi \times radius\times \Theta }{180^{\circ}}$

∵ circumference of circle = $2\times \Pi \times radius$

Or,  108 = $2\times \Pi \times radius$

∴  r = $\frac{108}{2\pi }$

So, Length of arc = $(\frac{\Pi \times \Theta }{180}) \times (\frac{108}{2\times \Pi })$

Or, L = $(\frac{\Pi \times \60 }{180}) \times (\frac{108}{2\times \Pi })$

Or, L = $\frac{36}{2}$ = 18 m

Hence The length of arc of circle with interior angle 60° is 18 meter  Answer