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Help i need to fisinsh some work for my geometry class because teacher is mean

Help i need to fisinsh some work for my geometry class because teacher is mean-example-1

2 Answers

3 votes

Answer:

5pi (use the pi character button on your screen)

Explanation:

Arc length formula is the shortest formula in all of all math!

Arc length = r•theta

r is the radius. In your question, it is 6.

"theta" is the angle in radians, which was given in your question as 5pi/6.

Fill in these given values to the formula.

Arc length

= r • theta

= 6 • 5pi/6

Simplify (the 6's cancel)

= 5pi

User Aleks Korovin
by
7.5k points
3 votes
The length of an arc intercepted by an angle in a circle is given by the formula:

length of arc = radius x angle in radians

In this case, the radius is 6 and the angle measures 5π/6 radians, so the length of the intercepted arc is:

length of arc = 6 x 5π/6
= 5π

Therefore, the length of the intercepted arc is 5π, in simplest form.
User Alec Gerona
by
8.1k points