karla1413
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

I NEED HELP PLEASE! Jenny's birthday cake is circular and has a 30 cm radius. Her slice creates an arc of with a central angle of 120 degrees. What is the area of Jenny's slice of cake? Give your answer in terms of pi. PLEASE HELP HELP HELP!!!!

Sagot :

Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third)  is 300pi.
MrRoyal

When a circle (i.e. the cake) is cut through the radius, the parts formed are referred to as the sectors of the circle. The area of the slice in terms of[tex]\pi[/tex] is [tex]300 \pi[/tex]

Given that

[tex]r = 30cm[/tex] --- the radius

[tex]\theta = 120^o[/tex] --- central angle

The area of the slice is calculated using the area of a sector, as follows:

[tex]Area = \frac{\theta}{360} \times \pi r^2[/tex]

So, we have:

[tex]Area = \frac{120}{360} \times \pi \times 30^2[/tex]

[tex]Area = \frac{1}{3} \times \pi \times 900[/tex]

[tex]Area = \pi \times 300[/tex]

[tex]Area = 300\pi[/tex]

Hence, the area of the slice of cake is [tex]300\pi[/tex]

Learn more about area of sectors at:

https://brainly.com/question/7512468

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.