Инфоурок / Математика / Презентации / Презентация на тему "Circles 2"

Презентация на тему "Circles 2"

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ВЫБРАТЬ КУРС И ПОДАТЬ ЗАЯВКУ
библиотека
материалов
Circle
A circle is a set of points which are all a certain distance from a fixed poi...
The radius of a circle is the distance from the center of the circle to the o...
The diameter of a circle is longest distance across a circle. (The diameter c...
The circumference of a circle is the perimeter -- the distance around the ou...
A chord of a circle is a line segment that connects one point on the edge of...
	An arc of a circle is a segment of the circumference of the circle.
Arc length of a circle in radians: Arc Length = Arc length of a circle in de...
A sector of a circle is a pie shaped portion of the area of the circle. Techn...
Sector area of a circle in radians: Sector Area = Sector area of a circle in...
The red line in the diagram is called a chord. It divides the circle into a m...
Rules 1) When a chord subtends (makes) an angle at the circumference, the ang...
2) A diameter subtends a right–angle at the circumference: 3) Angles subtende...
5) Angle between a chord and a tangent is equal to the angle subtended at the...
14 1

УЖЕ ЧЕРЕЗ 10 МИНУТ ВЫ МОЖЕТЕ ПОЛУЧИТЬ ДИПЛОМ

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Описание презентации по отдельным слайдам:

№ слайда 1 Circle
Описание слайда:

Circle

№ слайда 2 A circle is a set of points which are all a certain distance from a fixed poi
Описание слайда:

A circle is a set of points which are all a certain distance from a fixed point known as the centre. A line joining the centre of a circle to any of the points on the circle is known as a radius. The circumference of a circle is the length of the circle. The circumference of a circle = 2 × π × the radius.

№ слайда 3 The radius of a circle is the distance from the center of the circle to the o
Описание слайда:

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

№ слайда 4 The diameter of a circle is longest distance across a circle. (The diameter c
Описание слайда:

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

№ слайда 5 The circumference of a circle is the perimeter -- the distance around the ou
Описание слайда:

The circumference of a circle is the perimeter -- the distance around the outer edge. Circumference = where r = the radius of the circle and pi = 3.141592... The area of a circle Area = where r = the radius of the circle and pi = 3.141592...:

№ слайда 6 A chord of a circle is a line segment that connects one point on the edge of
Описание слайда:

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 a chord -- it's just the longest chord!)

№ слайда 7 	An arc of a circle is a segment of the circumference of the circle.
Описание слайда:

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

№ слайда 8 Arc length of a circle in radians: Arc Length = Arc length of a circle in de
Описание слайда:

Arc length of a circle in radians: Arc Length = Arc length of a circle in degrees: Arc Length =

№ слайда 9 A sector of a circle is a pie shaped portion of the area of the circle. Techn
Описание слайда:

A sector of a circle is a pie shaped portion of the area of the circle. Technically, the piece of pie is between two segments coming out of the center of the circle.

№ слайда 10 Sector area of a circle in radians: Sector Area = Sector area of a circle in
Описание слайда:

Sector area of a circle in radians: Sector Area = Sector area of a circle in degrees: Sector Area =

№ слайда 11 The red line in the diagram is called a chord. It divides the circle into a m
Описание слайда:

The red line in the diagram is called a chord. It divides the circle into a major segment and a minor segment.

№ слайда 12 Rules 1) When a chord subtends (makes) an angle at the circumference, the ang
Описание слайда:

Rules 1) When a chord subtends (makes) an angle at the circumference, the angle subtended at the centre (from the same chord) is twice as big:

№ слайда 13 2) A diameter subtends a right–angle at the circumference: 3) Angles subtende
Описание слайда:

2) A diameter subtends a right–angle at the circumference: 3) Angles subtended onto the circumference in each segment are equal. Angles in opposite segments add up to 180: 4) Tangents drawn from two outside points create two congruent right–angle triangles:

№ слайда 14 5) Angle between a chord and a tangent is equal to the angle subtended at the
Описание слайда:

5) Angle between a chord and a tangent is equal to the angle subtended at the circumference in the opposite segment:

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