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3 years ago

The radius of a circle is 13 feet. What is the length of an arc that subtends an angle of

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

Answer:

The length of the arc is 221π/18 ft or 38.55 ft

Step-by-step explanation:

Given

Subtended angle, θ = 17π/18

Radius, r = 13 ft

Required

Length of the arc.

When an angle is given in radians, the length of the arc is calculated using the formula below

Length = rθ

By substituting

Length = 13 * 17π/18

Length = 221π/18

The answer can be left in this form.

But for simplification purpose, I'll solve further.

Taking π as 3.14

Length = 221 * 3.14/18

Length = 693.94/18

Length = 38.552222

Length = 38.55 ft (Approximated).

Hence, the length of the arc is 221π/18 ft or 38.55 ft

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