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If TR = 11 ft, find the length of PS. Round to the nearest hundredth.

P

T

R

16°

S

arc PS =

ft

Sagot :

adioabiola

The length of arc PS from the information given in the task content is; 31.5 ft.

What is the length of the arc PS?

It follows from the task content that;

  • Point T is the center of the circle and line TR is the radius of the circle.

  • Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

Read more on length of an arc;

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