Wooden Personalised Name Circle. Name Hoop 10cm 20cm 25cm 30cm 40cm 50cm or 60cm Made in UK – Name Sign – Wall Décor (40 Centimeters, Font C)

Product Information

Segment: a region bounded by a chord and one of the arcs connecting the chord's endpoints. The length of the chord imposes a lower boundary on the diameter of possible arcs. Sometimes the term segment is used only for regions not containing the centre of the circle to which their arc belongs to.

Construct the circle with centre M passing through one of the points P, Q or R (it will also pass through the other two points).Diameter: a line segment whose endpoints lie on the circle and that passes through the centre; or the length of such a line segment. This is the largest distance between any two points on the circle. It is a special case of a chord, namely the longest chord for a given circle, and its length is twice the length of a radius. If the intersection of any two chords divides one chord into lengths a and b and divides the other chord into lengths c and d, then ab = cd.

If the intersection of any two perpendicular chords divides one chord into lengths a and b and divides the other chord into lengths c and d, then a 2 + b 2 + c 2 + d 2 equals the square of the diameter. [10]From the time of the earliest known civilisations – such as the Assyrians and ancient Egyptians, those in the Indus Valley and along the Yellow River in China, and the Western civilisations of ancient Greece and Rome during classical Antiquity – the circle has been used directly or indirectly in visual art to convey the artist's message and to express certain ideas.

The centre of the circle is the fixed point from which all points on the boundary of the circle are equidistant. Two tangents can always be drawn to a circle from any point outside the circle, and these tangents are equal in length. A line segment going from one point of the circumference to another but does not go through the centre.

Another proof of this result, which relies only on two chord properties given above, is as follows. Given a chord of length y and with sagitta of length x, since the sagitta intersects the midpoint of the chord, we know that it is a part of a diameter of the circle. Since the diameter is twice the radius, the "missing" part of the diameter is ( 2 r − x) in length. Using the fact that one part of one chord times the other part is equal to the same product taken along a chord intersecting the first chord, we find that ( 2 r − x) x = ( y / 2) 2. Solving for r, we find the required result. The Egyptian Rhind papyrus, dated to 1700 BCE, gives a method to find the area of a circle. The result corresponds to 256 / 81 (3.16049...) as an approximate value of π. [3] Construct a circle through points A, B and C by finding the perpendicular bisectors (red) of the sides of the triangle (blue). Only two of the three bisectors are needed to find the centre. Construction through three noncollinear points Note: Secant is not a term you are required to know at GCSE, however it is important to note the difference between a chord and a secant.