7.2 What’s The Area? Pg. 8 Areas of Circles and Sectors.

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Presentation transcript:

7.2 What’s The Area? Pg. 8 Areas of Circles and Sectors

7.2 – What’s The Area? Areas of Circles and Sectors

7.8 – AREA OF A CIRCLE a. Cut out the circle given to you by your teacher. Then fold the circle in half. Then in half again. Repeat until you have divided the circle into 16 pieces as shown. Then unfold the circle.

b. Label each radius with the letter "r". Then cut out each of the 16 pieces.

c. Alternate the circle pieces so that it forms a shape similar to a parallelogram. What is the height of the parallelogram? r

r

e. Find the area of the parallelogram in terms of the radius, r. r

Area of a Circle:

a. Find the area of a circle with radius 6 inches.

7.11 – SHADED AREA Find the area of the shaded region for each shape below. Leave answers in terms of pi.

Big circle – little circle – in 2

parallelogram – circle – m2m2

square – circle – in 2

10 m rectangle – 2 circles – m2m2

Sector: Area of part of a circle

Area of a Sector:

7.12 – AREA OF SECTORS Find the area of the shaded sector. Leave answers in terms of pi.

7.13 – ARC LENGTH VS. AREA OF SECTOR What are the key differences in the arc length and area of a sector?

Arc Length is length from X to Y along circle

Area of sector is part of the area of the circle

7.14 – ARC LENGTH VS. AREA OF SECTOR Find the arc length and area of the sector. Leave answers in terms of pi.