A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.9

Question

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?

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Hưng Khoa 2 months 2021-09-02T15:04:37+00:00 1 Answers 0 views 0

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    2021-09-02T15:06:10+00:00

    Answer:

    The surface area of the sphere is = 99426.41 yd^2

    Step-by-step explanation:

    The area of a sphere can be calculated using this formula:

    A=4\pi r^2

    However, we have a little problem: we do not have our radius yet to utilize in the formula above.

    We can get our radius from the circumference of the circle which has been given to us.

    circumference = 2 \times \pi \times r

    r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd

    We now have our radius. we can input it into equation 1 above

    The Surface area of sphere = 4 \times \pi \times 88/95^2 =  99426.41yd^2

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