3 years ago

can someone sub to my youttube channel pls, its called Yakobu, its the one with 90 subs, pls it would really help :)

Mathematics

1 answer:

Lisa [10]3 years ago

4 0

Answer:

ok i did

Step-by-step explanation:

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A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

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Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

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substitute

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