Question

Can you help with this I don’t know how to solve this.

Answer 1

Answer:

$arclength = 13.44 ft$

Step-by-step explanation:

We are given PS = 28 feet, which is the length of the diameter.

The formula for arc length is  $2\pi r\frac{x}{360}$, where x is the degrees.

So, we need to find the radius. We know that the radius is half of the diameter, so:

$\frac{28}{2}=14 ft$

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:

∠PXT + ∠TXS = 180

125 + ∠TXS = 180

∠TXS = 180 - 125

∠TXS = 55°

Now, we can use the arc length formula:

$arclength=2\pi r\frac{x}{360}$

$arclength=2\pi (14)\frac{55}{360}$

$arclength=13.43903524...$

$arclength = 13.44 ft$

Check my work to make sure! Hope this helps!