Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

An american man wants to break the guinness Record or largest pizza. He manages to bake with a radius of 66 feet. he offers to feed his town. if he cuts a slice with a central angle of 37* , how much area would this slice cover?

Sagot :

sqdancefan

Answer:

  4418.6 square feet

Step-by-step explanation:

The area of a sector of a circle is given by the formula ...

  A = 1/2r²θ . . . . where r is the radius, and θ is the central angle in radians

__

The area of the proposed pizza slice is the area of a sector with a radius of 66 ft and a central angle of 37°. That area will be ...

  A = 1/2(66 ft)²(37°×π/180°) ≈ 4418.6 ft²

The pizza slice would cover 4,418.6 square feet.

_____

Additional comment

There are 2π radians in the 360° of a circle. That means ...

  1 radian = 180°/π ≈ 57.296°

  1° = π/180 radians

As we have done above, the number of radians can be found by multiplying the degree measure by π/180°. The units of degrees will cancel, leaving a "pure number" with no units. That is, "radians" is a non-unit: a number of radians is a pure number.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.