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41 votes
41 votes
7. POOL The area of a circular pool cover is

314 square feet. Write and solve an equation
to find the diameter of the pool cover.
Use 3.14 for T. (Section 7.1)

User Intrepidhero
by
3.4k points

1 Answer

29 votes
29 votes

Answer:

d = 20 ft

Explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 314 , then

πr² = 314 , that is

3.14r² = 314 ( divide both sides by 3.14 )

r² =
(314)/(3.14) = 100 ( take square root of both sides )

r =
√(100) = 10

then

diameter d = 2r = 2 × 10 = 20 feet

User Robert Kajic
by
2.8k points