RE: Semi-circle of Radius 12cm. Can a Rectangle of 12c...
No it cannot because
If you assume the rectangle widthwise it would not fit. so the other option is lengthwise still 3cm is not very small when compared to 12cm so it will still leak out.
RE: Semi-circle of Radius 12cm. Can a Rectangle of 12c...
Area of rectangle 12*6 72 unitsArea of the semi-circle pi*12*12/2 226 unitsarea of rectangle < area of semi-circleThe answer is yes. In fact the semi-circle can even accomodate a square of length 12 units
RE: Semi-circle of Radius 12cm. Can a Rectangle of 12c...
Yes.If you imagine placing the bigger side(12 cm) of rectangle along the diameter of semicircleThe distance from center of semicircle to any point on its circumeference is radius(12 cm).So the distance of edges of rectangle from center are disagnol of triangle6 * square_toot of (2) 1.732 * 8 10.4 which is less than radius (12)
RE: Semi-circle of Radius 12cm. Can a Rectangle of 12c...
Single word answer is yes.let us place the rectangle at the centre of the semi circle the lenth of the rectangle wont create any problem as dia is 24 cm.as per as height of the rectangle is concerned we can apply pythagorous theorem which locates the other edge of the rectangle at sq rt(72)which will certainly come under the boundary.
RE: Semi-circle of Radius 12cm. Can a Rectangle of 12c...
Assume the rectangle is placed at the centre of diameter of circle.The length of the rectanle (12cm) fits in the diameter(24cm).The length from the centre of the circle to any point on the circumference is radius(12cm).the length from centre of circle(the centre of rectangle) to the edge of rectanle on the circle is 6cm.Using phythogarous theorem with these datas we arrive at the length from circle base to the circumference as approx.10.So the breadth of rectangle also fits into the circle.
