Mathematics, 16.04.2020 00:24, pakabigail4796

The smallest of the three circles with center D has a radius
of 8 inches and
CB = BA = 4 inches.
What is the sum of the areas of all three circles?
O
80 rt in.
O
96 te in.?
O
20811 in.2
464rt in.

Answers: 2

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Answers

answered: MIC620

The sum of the areas of all three circles is 464 $\pi$ 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,

$A = \pi r^{2}$ .............................(1)

Where, r - Radius of circle

Area of smallest circle,

r = 8 inches

Equation (1) becomes,

$A_{small}$ = $\pi (8)^{2}$

= 64 $\pi$

$A_{small}$ = 64 $\pi$ squared inches

Area of middle circle,

r = 12 inches

Equation (1) becomes,

$A_{middle}$ = $\pi (12)^{2}$

= 144 $\pi$

$A_{middle}$ = 144 $\pi$ squared inches

Area of Largest circle,

r = 16 inches

Equation (1) becomes,

$A_{largest}$ = $\pi (16)^{2}$

= 256 $\pi$

$A_{Larger}$ = 256 $\pi$ squared inches

Step:3

Sum of area of three circles = Area of small circle

+ Area of middle circle + Area of larger circle

= 64 $\pi$ + 144 $\pi$ + 256 $\pi$

= 464 $\pi$ squared inches

Result:

The sum of the areas of all three circles is 464 $\pi$ squared inches, if the smallest of the three circles with center D has a radius of 8 inches and CB = BA = 4 inches.

The smallest of the three circles with center D has a radius of 8 inches and CB = BA = 4 inches. Wha

answered: Guest

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

answered: Guest

i think its a and d

step-by-step explanation:

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The smallest of the three circles with center D has a radius
of 8 inches and
CB = BA = 4...