Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.

A circle has a central angle that measures 120 degrees and a radius of 8.


fraction numerator 48 straight pi over denominator 9 end fraction units squared

fraction numerator 64 straight pi over denominator 3 end fraction units squared

fraction numerator 32 straight pi over denominator 3 end fraction units squared

fraction numerator 16 straight pi over denominator 9 end fraction units squared

Sagot :

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

Area of a sector

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

  • r = radius
  • ∅ = central angle

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

learn more on area here: https://brainly.com/question/12655272

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.