SOLUTION: A circle has radius of 6 cm. The area of a sector of the circle is 3 pi cm squared. What is the measure of the central angle of the sector? Also someone else already asked this, bu
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Question 591395: A circle has radius of 6 cm. The area of a sector of the circle is 3 pi cm squared. What is the measure of the central angle of the sector? Also someone else already asked this, but the tutor didn't answer it fully..sorry! I tried, but couldn't get it!
a.) 3o degrees
b.) 60 degrees
c.) 15 degrees
d.) 330 degrees
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A circle has radius of 6 cm. The area of a sector of the circle is 3 pi cm squared. What is the measure of the central angle of the sector? Also someone else already asked this, but the tutor didn't answer it fully..sorry! I tried, but couldn't get it!
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Draw a circle with radius = 6 cm.
The area of the circle is (pi)r^2 = 36(pi) sq cm
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Use a proportion to find the central angle of the sector:
angle/area = angle/area
----
angle/(3pi) = 360/(36pi)
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angle = (3/36)*360
central angle = 30 degrees
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Cheers,
Stan H.
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a.) 3o degrees
b.) 60 degrees
c.) 15 degrees
d.) 330 degrees
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