76.2k views
5 votes
Given a circle with a radius of 6, what is the length of an arc measuring 60°? A. 1 2 p B. 2p C. 3 2 p D. 3p

User Bgaluszka
by
7.9k points

1 Answer

4 votes

Answer:

Option B
2\pi\ units

Explanation:

step 1

Find the circumference of the circle

The circumference is equal to


C=2\pi r

we have


r=6\ units

substitute


C=2\pi (6)


C=12\pi\ units

step 2

Find the length of an arc measuring 60°

we know that

The circumference of the circle subtends a central angle of 360 degrees

so

using proportion

find the length of an arc measuring 60°


(12\pi)/(360)=(x)/(60)\\ \\x=12\pi(60)/360\\\\x=2\pi\ units

User Virtually Real
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories