Maybe it is possible that the area of a square can be determined using a ratio based on the length of one side. Create a graph that shows the ratio of the (side of a square)/(area of a square) as a function of the length of any side (it is a square, all sides are the same). You could graph it as y=length/area For a 1" square, the ratio of side/area is _____________________________ For a 5" square, the ratio is______________________________ For a 0.1" square, the ratio is_________________________ Can we calculate the area of a square using a ratio of one side? Does this hypothesis hold true for all sizes of squares?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Lets test a different hypothesis. Maybe it is possible that the area of a square can be determined using a ratio based on the length of one side. Create a graph that shows the ratio of the (side of a square)/(area of a square) as a function of the length of any side (it is a square, all sides are the same). You could graph it as y=length/area
For a 1" square, the ratio of side/area is _____________________________
For a 5" square, the ratio is______________________________
For a 0.1" square, the ratio is_________________________
Can we calculate the area of a square using a ratio of one side? Does this hypothesis hold true for all sizes of squares?
Step by step
Solved in 4 steps with 1 images
