11.5 – Areas of Circles and Sectors. Area of a Circle: A=  r 2.

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Presentation transcript:

11.5 – Areas of Circles and Sectors

Area of a Circle: A=  r 2

Area of a Sector: Area between two radii in a circle

1. Find the area of the circle. A=  r 2 A=  (7) 2 A= 49  cm 2

1. Find the area of the circle. A=  r 2 A=  (6.5) 2 A=  in 2

( ) 2. Find the area of the shaded figure. A = +  r 2 2 +bh A =  (2) 2 2 +(4)(4) A = 4  A = 22 +16ft 2

( ) 2. Find the area of the shaded figure. A =– 8in 4in r2r2 A = –s2s2  (4) 2 A = –(8) 2 16  A = –64 16  A = – 64in 2 8in

3. The area of a circle is 58 square inches. Find the diameter. Round to two decimal places. A =  r 2 58 =  r = r 2  4.30in = r d = 8.59in

4. Find the area of sector formed by  ACB. Round to two decimal places. Leave answers in terms of pi. 360x = 6000 

360x =  x =  m 2 5. Find the area of sector formed by  PSQ. Round to two decimal places. Leave answers in terms of pi.

6. Find the area of sector formed by  ACB. Round to two decimal places. Leave answers in terms of pi. 360x = 7040  110°

360x = 7050  282° 7. Find the area of sector formed by  PSQ. Round to two decimal places. Leave answers in terms of pi.