Alarge planetarium in the shape of a dome is being built. when it is complete, the base of the dome will have a circumference of 87 kilometers. what area of land was required for this planetarium?

602.32 km²

Step-by-step explanation:

First, find the radius of the circle using the circumference formula

C = 2π*r

87 = 2π*r

∴ r = 13.8465 km

Second, using the radius, calculate the area:

A = π * r²

A = π * 13.8465²

A = 602.32 km ²

The better buy is option C because you will be paying $3 instead of $18 for 24 bottles. Which means you will save $1.2 more than option B and $15 in total.

Step-by-step explanation:

Option A:

If the bottle is 1.5 cent per bottle and you buy 24 bottles you will only spend:

therefore only 36 cent.

Option B:

If the bottle is 70 cent per bottle and you buy 24 bottles you will only spend:

therefore you will pay $16.8.

Option C:

If the bottle is 75 cent per bottle and you buy 24 bottles you will only spend:

therefore you will pay $18.

Option D:

If the bottle is 1.4 cent per bottle and you buy 36 bottles you will only spend:

therefore you will pay 50 cent.

∴ Option A you will overspend $3-0.36cents = $2.64

∴ Option B you will save $16.8-$3 = $13.8

∴ Option C you will save $18-$3 = $15

∴ Option B you will overspend $3-$0.5 = $2.5

Therefore option C is the best option because you will be paying $3 instead of $18 for 24 bottles. You will save $1.2 more than option B.