karla1413
Answered

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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

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