Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The arc corresponding to a central angle of 125 degrees in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Sagot :

[tex] \frac{Angle}{360} [/tex] x [tex]2 \pi r[/tex]

[tex] \frac{125}{360} [/tex] x [tex]2 \pi (10)[/tex] = [tex]21.82[/tex]

Answer: The Arc measures [tex]21.82 feet[/tex]
calculista

Answer:

[tex]21.82\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a complete circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have

[tex]r=10\ ft[/tex]

substitute

[tex]C=2\pi (10)=20 \pi\ ft[/tex]

Remember that

An angle of [tex]360\°[/tex] subtends the arc length of a complete circle

so

by proportion

Find the arc length for an angle of [tex]125\°[/tex]

[tex]\frac{20 \pi}{360}\frac{feet}{degrees}=\frac{x}{125}\frac{feet}{degrees}\\ \\x=125*(20\pi )/360\\ \\x=21.82\ ft[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.