MATH SOLVE

5 months ago

Q:
# Find the area of the composite figure. (round to the nearest hundredth) A) 35.26 cm2 B) 41.70 cm2 C) 41.86 cm2 D) 48.46 cm2

Accepted Solution

A:

we know that

[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h

where

b=the base

h=the height

[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²

where

r=the radius

r=4.1/2-------> 2.05 cm

the figure is a half circle

then

[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is

41.86 cm²

[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h

where

b=the base

h=the height

[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²

where

r=the radius

r=4.1/2-------> 2.05 cm

the figure is a half circle

then

[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is

41.86 cm²