CIRCLES RADIUS DIAMETER CHORD CIRCUMFERENCE ARC CHORD CIRCUMFERENCE

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CIRCLES RADIUS DIAMETER (CHORD) CIRCUMFERENCE ARC CHORD

CIRCLES RADIUS DIAMETER (CHORD) CIRCUMFERENCE ARC CHORD

CIRCUMFERENCE: the boundary of a circle, the length of this boundary RADIUS: a line

CIRCUMFERENCE: the boundary of a circle, the length of this boundary RADIUS: a line segment that goes from the centre of a circle to its circumference; the length of this line segment DIAMETER: a line segment that runs from one side of the circle, through the centre, to the other side; the length of this line segment.

CHORD: a line segment that joins any two points on the circumference of a

CHORD: a line segment that joins any two points on the circumference of a circle; the length of this line ARC: a section of the circumference of a circle that lies between two end of a chord (each chord creates two arcs); the length of this section D = 2 r diameter = 2 x radius

Property of a Chord’s Right Bisector • A chord’s right bisector passes through the

Property of a Chord’s Right Bisector • A chord’s right bisector passes through the centre of the circle. By drawing two random non-parallel chords and drawing the right bisector of each, the intersection of these two right bisectors is the centre of the circle.

ARC OF A CIRCLE- CENTRAL ANGLE • A central angle is an angle whose

ARC OF A CIRCLE- CENTRAL ANGLE • A central angle is an angle whose vertex is the centre of the circle. vertex 60⁰ central angle and arc measure • The central angle intercepts arc. • The central angle and the intercepted arc have the same measure in degrees.

Circumference and Area • To find circumference and area of a circle, we use

Circumference and Area • To find circumference and area of a circle, we use the Greek letter π (pi), which is the ratio of the circumference to the diameter in all circles. The approximate value of π is 3. 14 in decimal form or 3 1/7 or 22/7 in fraction form.

Circumference Example: Find the circumference of a circle that has a diameter of 14

Circumference Example: Find the circumference of a circle that has a diameter of 14 metres. 14 m C = πd C = (3. 14)(14) C = 43. 96 m • The circumference is 43. 96 metres.

Area Example: Find the area of a circle with a diameter of 26 centimetres.

Area Example: Find the area of a circle with a diameter of 26 centimetres. 26 cm A = πr² A = (3. 14)(13) A = 530. 66 cm²

Length of an Arc • The length of a circle’s arc is proportional to

Length of an Arc • The length of a circle’s arc is proportional to the measure of the central angle intercepting this arc. 60⁰ Length of AB = m A 0 B A B Circumference 360⁰

Area of a Circular sector • A circular sector is a region of the

Area of a Circular sector • A circular sector is a region of the circle made up by the central angle and the intercepted arc. 60⁰ Area of sector A 0 B = m A 0 B Area of the circle 360⁰

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CIRCLES I radius circumference centre tangent diameter chordCIRCLES I radius circumference centre tangent diameter chord
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