The area of the circular sector is

From that, the equation for the central angle is

The perimeter of the circular sector is the sum of the arc length and twice the radius.

From that, the equation for the central angle is

The value of r can be found by equating these two expressions for θ.

By any of several means, you can find that r=0.2 or 1.25. The latter value corresponds to the requirement that the central angle be less than 90°. The radius is ...
1.25 miles.
There are 1988 spaghetti hats at the amusement park
Answer: The annual growth rate in the value of the Wheaties box = 12%
The box worth $32.30 currently in the year 2021.
Step-by-step explanation:
Exponential growth function :
, where a = initial value, r= rate of growth , x= time (i)
Given:
, where V(t) = value of a commemorative box of Wheaties t years after its purchase in 2000.
It can written as
Comparing above function with (i), we get r=0.12
The annual growth rate in the value of the Wheaties box = 12%
Now , For 2021 , t=2021-2000=21

Hence, the box worth $32.30 currently in the year 2021.
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