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8.5 Areas of Circles. What is  ? Investigation: A Taste of  p 332  = 3.14159265….. If C is the circumference and d is the diameter of a circle, then.

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Presentation on theme: "8.5 Areas of Circles. What is  ? Investigation: A Taste of  p 332  = 3.14159265….. If C is the circumference and d is the diameter of a circle, then."— Presentation transcript:

1 8.5 Areas of Circles

2 What is  ? Investigation: A Taste of  p 332  = 3.14159265….. If C is the circumference and d is the diameter of a circle, then there is a number  such that C = _______. If d = 2r, where r is the radius, then C = _______. dd 2r2r

3 Area Investigation: Area Formula for Circles p 433 The area of a circle is given by the formula _______, where A is the area and r is the radius of the circle. A =  r 2

4 8.6 Any Way You Slice It Cut my pie into four pieces – I don’t think I could eat eight. YOGI BERRA

5 Definitions Sector, segment, annulus

6 Find the area of the shaded sector The sector is 45⁰ and the radius is 20 cm.

7 Find the area of the shaded segment The radius is 6 cm and it is an isosceles right triangle.

8 The shaded area is 14π cm², and the radius is 6 cm, what is the measure of the central angle?


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