Question #ac993

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Answer 1 · 2018-01-23T17:10:31

#~~# 9 meters

Area of a circle: #pi r^2#

Diameter of a circle: #2r#

Given area: 63.585 square meters

Assume #pi# #~~# 3.14

# r^2 = 63.585-:pi#

#r ~~ sqrt (20.25)#

#r ~~ 4.5#

The diameter #=2r ~~# 2 * 4.5 #~~# 9 meters

Answer 2 · 2018-01-23T18:25:59

The diameter is about #8.99# meters

The problem wants to know the #"diameter"#, so the shape must be a circle.

The Area of a circle
#A = pi r^2#

In this case, Area is given as #63.585# square meters.
Use the formula to find the radius.
Then use the radius to find the diameter.

#color(white)(...)##A##color(white)(....)##= pi##color(white)()# #r^2#
#63.585 = pi# #color(white)# #r^2#
Solve for #r#

Divide both sides by #pi# to isolate the #r^2# term
#20.24 = r^2#

Find the square roots of both sides to isolate the radius #r#
#4.98 = r#

Multiply #4.98# by #2# to find the diameter
#"Diameter" = 8.99# meters

Answer:
The diameter is about #8.99# meters

Answer 3 · 2018-01-24T12:54:38

Diameter #color(brown)(d )~~color(blue)( 9 m)#

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Area of a circle #A_C = pi r^2 = pi (d/2)^2 = 63.585 m^2#

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where r is the radius and the diameter #d = 2 * r#

#pi * (d/2)^2 = 63.585#

#d = sqrt((4 * 63.585) / pi ) ~~ 9 m#