Area of a Circle

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AreaofaCircle
Videos40,59onCorbettmaths
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Examples
Workout
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Question1: Calculatetheareaofthefollowingcircles.Giveyouranswersto1decimalplace.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Question2: Calculatetheareaofthefollowingcircles.Giveyouranswersto1decimalplace.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Question3: Workouttheareaofthefollowingcircles.Giveyouranswersto1decimalplace.
(a) Acirclewithradius9cm(b)Acirclewithradius12m
(c) Acirclewithdiameter40cm(d)Acirclewithdiameter1km
(e)Acirclewithdiameter5yards
(f)Acirclewithradius10.5m
© CORBETTMATHS 2016
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AreaofaCircle
Videos40,59onCorbettmaths
Question4: Calculatetheareaofthefollowingcircles.Giveyouranswersto1decimalplace.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Question5: Calculatetheareaofthefollowingcircles.Leaveyouranswerintermsofπ
(a)
(b)
(c)
(d)
Question6: Workouttheareaofthefollowingcircles.Leaveyouranswerintermsofπ
(a) Acirclewithradius7cm
(b) Acirclewithradius1cm
(c) Acirclewithdiameter10cm
(d) Acirclewithradius3cm
(e) Acirclewithdiameter4cm
Question7: Findthesizeoftheradiusforeachofthefollowingcircles.
Giveyouranswerto2decimalplaces.
(a) (b)
(c)
(d)
© CORBETTMATHS 2016
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AreaofaCircle
Videos40,59onCorbettmaths
Question8: Findthesizeofthediameterforeachofthefollowingcircles.
Giveyouranswerto2decimalplaces.
(a)
(b)
(c)
(d)
Apply
Question1: Acirculartabletophasadiameterof90cm.Workouttheareaofthetabletop.
Question2: Acircularbadgehasradius3cm.Calculatetheareaofthebadge.
Question3: Shownbelowisacircle,arectangleandarightangledtriangle.
Whichshapehasthegreatestarea?
Question4: Calculatetheshadedareaforeachshapebelow.
(a) (b) (c)
© CORBETTMATHS 2016
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AreaofaCircle
Videos40,59onCorbettmaths
Question5: Thecircleandsquarehavethesamearea.Findy,thediameterofthecircle.
Question6: Thecircumferenceofacircleis60cm.
Workouttheareaofthecircle.
Question7: Thecircumferenceofacircleis1m.
Workouttheareaofthecircle.
Question8: Theareaofacircleis80cm².
Workoutthecircumferenceofthecircle.
Question9: Theareaofacircleis2m².
Workoutthecircumferenceofthecircle.
Question10: Arectangularlawnis100mlongand45mwide.
Thereare3circularponds,withradii20m,10mand5mrespectively.
MrsJoneswantstocoverthelawnwithgrassseed.
Eachpacketofgrassseedcovers50m²andcosts£1.49
HowmuchwillitcostMrsJonestocoverthelawnwithgrassseed?
Question11: Acircularplaqueofdiameter6cmiscutfromasquarepieceofmetalwithside
length6cm.
Whatpercentageofthemetaliswasted?
Answers
© CORBETTMATHS 2016
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