Question

Arc Length and Radians question- please help! Will mark brainliest! Is 20pts!

The answer is shown but please give me an explanation so I can show my work!

Answer 1

Answer:

59

Step-by-step explanation:

If we convert from degrees into radians, we can use the formula

$s=r\theta$, where s is the arc length, r is the radius and θ is the angle in radians.

To convert from degrees to radians, we multiply by $\frac{\pi}{180}$

So $\frac{140 \pi}{180}$ is our angle in radians, and we have the radius - we can now plug in these two values into our equation.

$s=24*\frac{140 \pi}{180} =58.64$

Answer 2

Answer:

Step-by-step explanation:

length of arc= (arc angle/360) * 2πr

length= 140/360 *2*22/7*24

length=58.88 feet ~59 feet(approx)