Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.

Sagot :

bohotnesstherealone
A segment of a circle has a 120 arc and a chord of 8in. The area of the segment = (120/360) x 3.14 x 8^2 = 67 in^2
xero099

Answer:

[tex]A = 22.342\,in^{2}[/tex]

Step-by-step explanation:

The radius of the circle is:

[tex]2\cdot r \cdot \cos 30^{\textdegree} = 8\,in[/tex]

[tex]r = \frac{8\,in}{2\cdot \cos 30^{\textdegree}}[/tex]

[tex]r \approx 4.619\,in[/tex]

Finally, the area of the segment is:

[tex]A = \left(\frac{120^{\textdegree}}{360^{\textdegree}} \right)\cdot \pi \cdot (4.619\,in)^{2}[/tex]

[tex]A = 22.342\,in^{2}[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.