Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A 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]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.