What is the circumference and the area of the following circles with the given information 1 Radius 7cm 2 Diameter 12in 321 Circumference and Area of a Circle EQ How do you develop and apply a formula for the circumference and the area of a circle ID: 531317
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Slide1
Warm up #6 03/07/16 Monday
What is the circumference and the area of the following circles with the given information.
1. Radius = 7cm
2. Diameter = 12inSlide2
32.1 Circumference and Area of a Circle
EQ: How do you develop and apply a formula for the circumference and the area of a circle?
Vocabulary:
The circumference of a circle is the distance around the circle: C=πd (product of π and a diameter)C=2πr (product of π and 2radii)The area of a circle: A = πr2 (product of π and square of r)Slide3
Sub EQ1: With a given circumference, how do you find the area of a circle?
Ex: A circular ceramic plate has a circumference of 26π inches. What is the area of the plate?Slide4
Practice problems
A circular ceramic plate has a circumference of 50π inches. What is the area of the plate?
What is the approximate largest circumference of a circular pond that could fit within a square walkway of sides 40 meters?
Mitchell boards a Ferris wheel with a diameter of 200 feet. What is the approximate distance, to the nearest foot, that Mitchell travels in four revolutions of the wheel?Slide5
Sub
EQ2:
With a given area, how do you find the circumference of
a circle?Ex: A parallelogram has an area of 784 square feet. A circle has the same area. What is the approximate circumference of the circle to the nearest tenth?Slide6
Practice Problems
A parallelogram has an area of
324 square
feet. A circle has the same area. What is the approximate circumference of the circle to the nearest tenth?The circumference of the thin metal band that protects the circular glass face of Dale’s watch is 20π cm. What is the area of the glass face?Slide7
What’s due?
Pg. 475 #1-6Slide8
Warm up #7 03/08/16 Tuesday
Find the area of the circles with the given information. Round the answers to the nearest tenth.
R
adius = 10Diameter = 9Slide9
32.2 Sectors and Arcs, 32.3 Circles and similarity
EQ: How do you work with sectors? How do you prove that all circles are similar?
Sub EQ1: How do you work with Sectors?
What is the measure of the central angle for the sector?What is the area and the circumference of the whole circle when the
diameter is 20ft?
What is the area of one sector?
What is the arc length of one sector?Slide10
PracticeSlide11
Sub EQ2: How do you prove that all circles are similar?
Scale Factor by the radius when O is the pre-image?
Area
Circumference
Circle O
Circle
PSlide12
Sub EQ3: How do you work with of a concentric circle?
Area
Circle O
Circle
P
Area of the outer ring?Slide13
PracticeSlide14
What’s due?
Sector of a Circle and Concentric Circles Worksheet