Lesson 1 Circles and Circumference
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Poslední aktualizace about 2 months ago
18 Dotazy
Parts of a Circle
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Radius, Diameter, Circumference Relationships
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Parts of a circle
| Přetahovatelná položka | arrow_right_alt | Odpovídající položka |
|---|---|---|
Radius | arrow_right_alt | the point which is equidistant from all points on the circle. The circle is named after this point. |
Secant | arrow_right_alt | a line segment whose endpoints are the center of the circle and a point on the circle |
Diameter | arrow_right_alt | is a line segment whose endpoints are on the circle |
Center | arrow_right_alt | is a chord that passes through the circle's center |
Circumference | arrow_right_alt | a line (in the plane of the circle) that intersects the circle at exactly one point |
Tangent | arrow_right_alt | a line (in the plane of the circle) that intersects the circle at TWO points |
Arc | arrow_right_alt | perimeter / distance around the circle |
Chord | arrow_right_alt | a set of points on the circle consisting of two endpoints and all the points between them. |
Draw/sketch Circle T with the following:
Radius
(red)Diameter
(blue)Chord
(purple)Tangent
(green)Secant
(orange)chord
radius
diameter
Using the values from the previous applet, fill out the following table and look for patterns/relationships between the radius, the diameter, and circumference of the circle as the radius changes. (Last column round to the nearest hundredth)
Radius (r) | Diameter (d) | Circumference (C) | |
|---|---|---|---|
3 | |||
4 | |||
5 | |||
6 | |||
7 |
1) From the previous slide, take a screenshot of your data table of radii, diameters, and circumferences and attach to the "show your work" area.
2) The radius of a circle is
3) The diameter of a circle is
4) The circumference of a circle is
Let's talk more about the Diameter - Radius relationship.
The length of the radius represents the distance from the
All radii, r, of a circle are
A diameter represents the length of a segment connecting any two points on a circle that passes through the
All diameters, d, of a circle are
If
, what is the diameter of Circle A?Diameter =
Name a segment congruent to
(more than one answer)Segment
Let's talk more about the Circumference - Diameter relationship of circles. It is an important relationship - that involves one of the most "famous" irrational numbers.
All circles are
In the previous slide, we saw that the Circumference of every circle was about
Find the circumference of circle whose diameter is 6. Keep answer in terms of
.Circumference =
Find the circumference of circle whose radius is 16. Keep answer in terms of
.Circumference =
If the circumference of a circle is
, find its radius.Radius =
If the circumference of a circle is
, find its diameter.Diameter =
All the vertices of a polygon inscribed in a circle are
All of the sides of a polygon circumscribed about a circle are
The diagonal of a square inscribed in a circle is congruent/equal to the
The diameter of a circle inscribed in a square is congruent/equal to the
A square is inscribed in a circle. Find the circumference of the circle if the side of the square is 6. Keep answer in terms of
and in simplest radical form.Circumference =
A rectangle is inscribed in a circle. Find the circumference of the circle if the rectangle has side lengths of 6 and 8.
Circumference of circle =