Max possible area, of a rectangle shape where one side is a half circle. circumference of 100mArea between a semicircle and a 45° lineWhat shape do we get when we shear an ellipse? And more generally, do affine transformations always map conic sections to conic sections?'Concentric' parabolas — two parabolas that have a constant vector distanceincreasing area of circle,square &rectangleSplitting area of composite shape in half and finding length of fenceTo optimize fenced area in a semi-ellipse, what a/b should I choose?Find max possible area of square and circleMax area of rectangle in an ellipseArea of Rectangle and circleA flower in a hexagon
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Max possible area, of a rectangle shape where one side is a half circle. circumference of 100m
Area between a semicircle and a 45° lineWhat shape do we get when we shear an ellipse? And more generally, do affine transformations always map conic sections to conic sections?'Concentric' parabolas — two parabolas that have a constant vector distanceincreasing area of circle,square &rectangleSplitting area of composite shape in half and finding length of fenceTo optimize fenced area in a semi-ellipse, what a/b should I choose?Find max possible area of square and circleMax area of rectangle in an ellipseArea of Rectangle and circleA flower in a hexagon
$begingroup$
A picture of the shape!
I recently took a maths test where one of the questions was just unsolvable for me. I'm going to try to make it as clear as possible, to not create confusion.
The question looks like this:
"A rectangle shape, which has one of it's sides replaced by a half circle (see picture above.) has a circumference of 100 meters.
What is the maximum possible area of this shape?"
The test was about quadratic equations, parabolas, and their graphs.
How would you solve this kind of question? I would really appreciate all help I could get!
quadratics conic-sections area
asked Mar 21 at 14:43
Haupta2Haupta2
1
$endgroup$
add a comment |
$begingroup$
A picture of the shape!
I recently took a maths test where one of the questions was just unsolvable for me. I'm going to try to make it as clear as possible, to not create confusion.
The question looks like this:
"A rectangle shape, which has one of it's sides replaced by a half circle (see picture above.) has a circumference of 100 meters.
What is the maximum possible area of this shape?"
The test was about quadratic equations, parabolas, and their graphs.
How would you solve this kind of question? I would really appreciate all help I could get!
quadratics conic-sections area
asked Mar 21 at 14:43
Haupta2Haupta2
1
$endgroup$
add a comment |
$begingroup$
A picture of the shape!
I recently took a maths test where one of the questions was just unsolvable for me. I'm going to try to make it as clear as possible, to not create confusion.
The question looks like this:
"A rectangle shape, which has one of it's sides replaced by a half circle (see picture above.) has a circumference of 100 meters.
What is the maximum possible area of this shape?"
The test was about quadratic equations, parabolas, and their graphs.
How would you solve this kind of question? I would really appreciate all help I could get!
quadratics conic-sections area
asked Mar 21 at 14:43
Haupta2Haupta2
1
$endgroup$
A picture of the shape!
I recently took a maths test where one of the questions was just unsolvable for me. I'm going to try to make it as clear as possible, to not create confusion.
The question looks like this:
"A rectangle shape, which has one of it's sides replaced by a half circle (see picture above.) has a circumference of 100 meters.
What is the maximum possible area of this shape?"
The test was about quadratic equations, parabolas, and their graphs.
How would you solve this kind of question? I would really appreciate all help I could get!
quadratics conic-sections area
quadratics conic-sections area
asked Mar 21 at 14:43
Haupta2Haupta2
1
asked Mar 21 at 14:43
Haupta2Haupta2
1
asked Mar 21 at 14:43
Haupta2Haupta2
1
asked Mar 21 at 14:43
Haupta2Haupta2
1
asked Mar 21 at 14:43
Haupta2Haupta2
1
1
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Let the sidelength of the rectangle be $x$ respectively $y$, then the area is given by
$$A=xy-fracpi y^28$$ and the perimeter is given by $$p=2x+y+fracpi y2$$
Can you proceed now?
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Let the sidelength of the rectangle be $x$ respectively $y$, then the area is given by
$$A=xy-fracpi y^28$$ and the perimeter is given by $$p=2x+y+fracpi y2$$
Can you proceed now?
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
add a comment |
$begingroup$
Let the sidelength of the rectangle be $x$ respectively $y$, then the area is given by
$$A=xy-fracpi y^28$$ and the perimeter is given by $$p=2x+y+fracpi y2$$
Can you proceed now?
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
add a comment |
$begingroup$
Let the sidelength of the rectangle be $x$ respectively $y$, then the area is given by
$$A=xy-fracpi y^28$$ and the perimeter is given by $$p=2x+y+fracpi y2$$
Can you proceed now?
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
Let the sidelength of the rectangle be $x$ respectively $y$, then the area is given by
$$A=xy-fracpi y^28$$ and the perimeter is given by $$p=2x+y+fracpi y2$$
Can you proceed now?
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Mar 21 at 14:56
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
78.4k42867
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
add a comment |
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
I'm sorry if i wasn't clear enough with the question. In a similar problem, with a normal rectangle with the perimeter of 100. I would label the sides X and (50-X) respectively. The area would then be = X(50-X). which would give me something like: ax^2 + bx + c = y Is this sort of equation possible with this problem?
$endgroup$
– Haupta2
Mar 21 at 15:12
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
$begingroup$
But you must subtract the area of the half circle
$endgroup$
– Dr. Sonnhard Graubner
Mar 21 at 15:14
add a comment |
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