Yahoo Answers: Answers and Comments for Find the area of the shaded region. Express your answer in terms of pi.? [Mathematics]
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From lolo
enUS
Wed, 23 Oct 2019 05:02:21 +0000
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Yahoo Answers: Answers and Comments for Find the area of the shaded region. Express your answer in terms of pi.? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20191023050221AAqBzPY
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From Engr. Ronald: 1st find the area of each circle..
find the r...
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Wed, 23 Oct 2019 10:49:03 +0000
1st find the area of each circle..
find the radius of each circle
r = d/2
r1 = 6/2 = 3
r2 = 9/2 = 4.5
r3 = 12/2 = 6
Apply Area of a circle
A = πr^2
A1 = π(3)^2 = 9π
A2 = π(4.5)^2 = 20.25π or 81/4π
A2 = π(6)^2 = 36π
Solving the area of a rectangle
A = LW
A = (3 + 6 + 9 + 12)(18)
A = (30)(18)
A = 540 square units
Now solving the area of a shaded region.
Area of shaded region = 540  (9π + 81/4π + 36π) = 540  261/4 π or 335 square units answer//

From Jeff Aaron: Looks like it's a rectangle minus 3 circle...
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Wed, 23 Oct 2019 05:28:07 +0000
Looks like it's a rectangle minus 3 circles.
The circles seem to have diameter 6, 9, and 12, so their radii are half of those: 3, 4.5, and 6. So there areas are pi*3^2, pi*4.5^2, and pi*6^2, which is 9*pi, 20.25*pi, and 36*pi, for a total of 65.25.
The rectangle is shown as having a width of 18 and a height of 3 + 6 + 9 + 12 = 30, so its area is 30 * 18 = 540
Final answer: 540  65.25*pi =~ 335.01107935326599119031251924101

From David: Shaded region: Area of rectangle  area of 3 c...
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Wed, 23 Oct 2019 11:35:39 +0000
Shaded region: Area of rectangle  area of 3 circles = 335 square inches to nearest whole number

From Krishnamurthy: The area of the shaded region:
[540  (9pi +...
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Wed, 23 Oct 2019 06:50:35 +0000
The area of the shaded region:
[540  (9pi + 81/4 pi + 36 pi)] in^2
= (540  65 1/4 pi) in^2
= 540  204.9894 in^2
= 335 in^2

From Geeganage W: Let me first assume given is a rectangle. Area...
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Wed, 23 Oct 2019 05:09:53 +0000
Let me first assume given is a rectangle. Area of a circle whose diameter is d, is (π/4)d^2.
The shaded area = 18*(12+9+6+3)  (π/4)[12^2+9^2+6^2+3^2] = 540  135π/2.