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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 521.24 yards. What is the surface area of the sphere? use 3.14 for pi

Respuesta :

calculista

Answer:

The surface area of the sphere is [tex]86,525.84\ yd^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

step 1

Find the radius of the sphere

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=521.24\ yd[/tex]

substitute and solve for r

[tex]521.24=2(3.14)r[/tex]

[tex]r=521.24/6.28=83\ yd[/tex]

step 2

Find the surface area of the sphere

substitute the values

[tex]SA=4(3.14)(83^{2})=86,525.84\ yd^{2}[/tex]

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