Question:

Cody started a fire in a field. The fire was expanding outward in all directions forming a larger and larger circle. The radius

Cody started a fire in a field. The fire was expanding outward in all directions forming a larger and larger
circle. The radius of the circular fire was 10 feet and was increasing at 2 feet/minute when Cody called the
fire department. How many minutes will it take from the time Cody called the fire department until the
area of the circular fire is 8627 square feet? Type your answer to the nearest hundredth (2 decimal places).

Cody started a fire in a field. The fire was expanding outward in all directions forming a larger and larger circle. The radius of the circular fire was 10 feet and was increasing at 2 feet/minute when Cody called the fire department. How many minutes will it take from the time Cody called the fire department until the area of the circular fire is 8627 square feet? Type your answer to the nearest hundredth (2 decimal places).

Answer

2
Tr2 =
Initial area of fire is
3.14 X(10) = 3 14 sq.ft
Area of Circular fire has grown to
8627 sq. ft.
Let radius of large fire be R.
. TR²_8627
3.14X R²=8627
R2=8627 = 2747. 4522
:
R- 2.4L ouod eftia
Diss. in radius= (52.41 - 10)-42.41
Time=
21.20 AJ AS
Q
=
SIC
OL
42.44-21.20
2

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2 Tr2 = Initial area of fire is 3.14 X(10) = 3 14 sq.ft Area of Circula... Download the app for the rest