Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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 trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.