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

Can you help with this I don’t know how to solve this.-example-1
User Lichi
by
4.1k points

1 Answer

11 votes

Answer:


arclength = 13.44 ft

Explanation:

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

The formula for arc length is
2\pi r(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:


(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(x)/(360)


arclength=2\pi (14)(55)/(360)


arclength=13.43903524...


arclength = 13.44 ft

Check my work to make sure! Hope this helps!

User Lokesh Yadav
by
3.9k points