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CIRCUMFERENCE AND CIRCLE. Circumference is a line whose points are equidistant to the center Circumference is a line whose points are equidistant to the.

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Presentation on theme: "CIRCUMFERENCE AND CIRCLE. Circumference is a line whose points are equidistant to the center Circumference is a line whose points are equidistant to the."— Presentation transcript:

1 CIRCUMFERENCE AND CIRCLE

2 Circumference is a line whose points are equidistant to the center Circumference is a line whose points are equidistant to the center Circle is a portion of plane or area in a circumference Circle is a portion of plane or area in a circumference

3 THE CIRCUMFERENCE A circumference is a closed flat curved where all its points are equidistant from the fixed centre point The flat surface outlined by the circumference is called a circle

4 Elements of a circumference Diameter. The straight line that goes through the center of the circumference and intersect it at two points Radius. It is the segment that connects the center of the circumference to any other point Secant. It is a straight line that intersects a circumference at two points Tangent. It is a straight line that crossed the circumference at only the point known as tangent point Arc. It is the fragment of the circumference between any two points Chord. It is the segment that connects any two points of the circumference Diameter Radius Secant Tangent Arc Chord

5 The radius of a circle is the distance from the center of the circle to the outside edge. RADIUS

6 THE DIAMETER The diameter of a circle is the longest distance across a circle. (The diameter cuts through the center of the circle. This is what makes it the longest distance.)

7 PERIMETER OF A CIRCUMFERENCE The perimeter is the distance around the outer edge. Circumference = where r = the radius of the circle and pi =

8 A chord of a circle is a line segment that connects one point on the edge of the circle with another point on the circle. (The diameter is also a chord: it's just the longest possible chord of a circle)

9 An arc of a circle is a segment of the circumference of the circle.

10 ANGLES

11 Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. ANGLE

12 We usually specify an angle using Greek letters like these α, β, γ We usually specify an angle using Greek letters like these α, β, γ We can also specify an angle with the letters of its rects adding the symbol above them : rs We can also specify an angle with the letters of its rects adding the symbol above them : rs α r s

13 We measure the size of an angle using degrees. We measure the size of an angle using degrees. ACUTE < 90º ACUTE < 90º RIGHT= 90º RIGHT= 90º OBTUSE > 90º OBTUSE > 90º FLAT = 180º FLAT = 180º FULL= 360º FULL= 360º CLASIFICATION BY MEASUREMENT Measuring Angles

14 Complementary Angles: Complementary Angles: Two angles are called complementary angles if the sum of their degree measurements are equals 90 degrees.    º PAIRS OF ANGLES

15 An angle bisector is a ray that divides an angle into two equal angles. An angle bisector is a ray that divides an angle into two equal angles. ANGLE BISECTOR

16 What kind of shape does have this pizza?

17 What would it be this portion of pizza in Geometry?


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