Question

The circumference of the Astrodome in Houston, Texas is 2,230 ft. Find the area of the astrodome and explain how you did this using the words area, circumference and radius. (π = 3.14)

Answer 1

Answer:

The radius of Astrodome is 355.09 foot,

The Area of Astrodome is 395919.146 square foot .

Step-by-step explanation:

Given as :

The circumference of Astrodome = 2230 foot

∵ The circumference of circular shape = 2 × $\pi$ × radius

where  $\pi$ = 3.14

So, The circumference of Astrodome = 2 × $\pi$ × radius

Or, 2230 foot = 2 × 3.14 × radius

Or, 2230 foot = 6.28 × radius

∴ radius = $\dfrac{2230}{6.28}$

I.e radius = 355.09 foot

Now,

∵The area of circular shape = $\pi$ × radius²

So, The area of Astrodome = $\pi$ × radius²

Or, The area of Astrodome = 3.14 × radius²

Put the value of radius = 355.09 foot

So , The area of Astrodome = 3.14 × (355.09)²

or, The area of Astrodome = 3.14 × 126088.9

∴  The area of Astrodome = 395919.146 square foot

Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer