Simplify the following expression -r - 10r
2 answers:
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The sum of the areas of all three circles is 464 squared inches, if the smallest of the three circles with center D has a radius
of 8 inches and CB = BA = 4 inches.
Step-by-step explanation:
The given is,
Three circles,
Smallest circle with center D has a radius of 8 inches.
CB = BA = 4 inches
Step:1
Ref the attachment,
Radius of smallest circle(DC) = 8 inches
Radius of middles circle (DB),
DB = BC + DC = 4 + 8 = 12 inches
Radius of largest circle (DA),
DA = AB + BC + CD = 4 + 4 + 8
DA = 16 inches
Step:2
Formula for area of circle,
.............................(1)
Where, r - Radius of circle
Area of smallest circle,
r = 8 inches
Equation (1) becomes,
=
= 64
= 64
squared inches
Area of middle circle,
r = 12 inches
Equation (1) becomes,
=
= 144
= 144
squared inches
Area of Largest circle,
r = 16 inches
Equation (1) becomes,
=
= 256
= 256
squared inches
Step:3
Sum of area of three circles = Area of small circle
+ Area of middle circle + Area of larger circle
= 64 + 144
+ 256
= 464 squared inches
Result:
The sum of the areas of all three circles is 464 squared inches, if the smallest of the three circles with center D has a radius
of 8 inches and CB = BA = 4 inches.
