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What is the arc length of a semicircle with a radius of 11?

2 Answers

6 votes

Answer:

11 pi

Explanation:

on khan academy

User Yuan Wen
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4 votes

Answer:

The arc length of the semicircle is:
11 \pi, which is approximately 34.5575

Explanation:

Recall that the length of a circumference of radius R is given by:


length = 2\,\pi \,R

therefore, the arc length of a semicircle (half of the circle) would be given by half of the previous expression:


length\,\,of \,\,semicircle= \pi\,R

So, in our particular case of radius 11, the formula for the arc length of the semicircle becomes:


length\,\,of \,\,semicircle= \pi\,R\\length\,\,of \,\,semicircle= 11 \pi\\length\,\,of \,\,semicircle= 34.5575

User Conrad Scherb
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