Question

If the radius of the circle is 14 meters, find the length of arc RS (brainliest given)

Answer 1

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

• radius: 14 meters
• arc: RS

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  $Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)$ ≈ $28.34_.meters$

Answer: 28.34 meters

Hope that helps!

 

Answer 2

Answer:

s=14(116)

s = 1624

(This is the arc length for RS)

The line T to R cuts the circle in half. Half of a circle in degrees is 360/2. Which is 180.

Now we take the known angle and subtract it from 180 to get the unknown angle which is the angle of RS.

[180-64 = 116]

Arc length = radius * theta

Arc length = 14 * 116 = 1624

[FOR TS BELOW]

s=r(theta)

s= 14(64)

s = 896 (arc length for TS)