"Arc Length and Sector Area" Circle PPT Courseware

Description

"Arc Length and Sector Area" Circle PPT Courseware

1. Do you still remember the formula for calculating the circumference of a circle?

2. How many degrees can the circumference of a circle be regarded as the length of the arc subtended by the central angle of the circle?

3. What is the length of the arc subtended by the central angle of 1°?

4. What about the central angle of n°?

The circumference of a circle with radius R is C=2πR

The arc length subtended by the central angle of 1° is 1/360×2πR

The arc length subtended by the central angle of n° is l=1/360×2πR×n=nπr/180

Trial test

(1) It is known that the radius of the circle is 10cm and the arc length of the semicircle is ( )

(2) It is known that the radius of the circle is 9cm, and the arc length of the 60° central angle is ( )

(3) It is known that the radius is 3, then the central angle subtended by an arc with arc length π is _______

(4) It is known that the central angle of the circle is 150° and the length of the arc it corresponds to is 20π, then the radius of the circle is _______

give it a try

1. It is known that the central angle subtended by the arc is 900 and the radius is 4, then the arc length is ______

2. It is known that the radius of an arc is 9 and the arc length is 8 π, then the central angle subtended by this arc is _____.

3. The length from the axis of the clock to the tip of the minute hand is 5cm. Then after 40 minutes, the arc length rotated by the tip of the minute hand is ( )

A. 10π/3cm B. 20π/3cm C. 25π/3cm D. 50π/3cm

The figure enclosed by the two radii that make up the central angle and the arc opposite the central angle is called a sector.

In ⊙O, the figure formed by the radii OA, OB and AB is a sector.

In ⊙O, the figure formed by the radii OA, OB and ACB is a sector.

In congruent or equal circles, since the arcs subtended by equal central angles are equal, sectors with equal central angles have equal areas.

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For more information about the "Arc Length and Sector Area" PPT courseware, please click on the Arc Length and Sector Area ppt tab of the circle ppt.

"Calculation of arc length and sector area" PPT courseware:

"Calculation of arc length and sector area" PPT courseware 1. The figure formed by an arc and two radii passing through the endpoints of the arc is called ________. 2. In a circle with radius r, let the length of the arc subtended by the central angle n be l, and the area of ​​the sector with central angle n be S, then:..

"Arc Length and Sector Area" Circle PPT Courseware 3:

"Arc Length and Sector Area" Circle PPT Courseware 3 Exploration and Research Question: Given that the radius of ⊙O is R, find the length of the arc subtended by the n central angle. (1) What is the length of the arc subtended by the central angle of 1? (2) How many times the length of the arc subtended by the central angle n is the length of the arc subtended by the central angle 1? (3) n..

"Arc Length and Sector Area" Circle PPT Courseware 2:

"Arc Length and Sector Area" Circle PPT Courseware 2 Learning Objectives Understand the concept of sector, understand the calculation formulas of arc length and sector area subtended by the central angle of n, and apply these formulas to solve related problems. Self-study textbook P120----P121, think about the following contents: (1)..

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Update Time: 2024-11-02

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

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