Post on 29-Dec-2015
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Answers to homework problems – page 8
Areas of Circles and Sectors
Theorem 11.7 Area of a Circle
The area of a circle is
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π times the square of the radius,
or A = πr2
Theorem 11.8 Area of a Sector
The ratios of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc to 360∘.
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A
πr2 =mAB
360o , or A =mAB
360o • πr2
Find the area of the blue shaded region.
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1. 12π in 2. (100 - 25π ) cm2 3. (64π - 8) ft 2
Find the area of the yellow ring.
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27π
Find the area of the circular sector whose chord is the side of the square inscribed in a circle
with a 4 cm radius.
Calculate the area of a circular sector whose chord is the side of
an inscribed equilateral triangle in a circle with a 2 cm radius.