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If the circumference of a circle increased by 30%, how much is its area increase?

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Sagot :

Harthartdog1idn

Answer:

50%

Step-by-step explanation:

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original circumference 2 Pi r ; radius increased to 1.3 r new circumference 1.3*2 PI r increase in circumference 2 Pi r[1.3–1] =0.3 2 PI r

percentage increase in circumference= 0.3 2 PI r/2 Pi r *100 =30%

Circle Area originally =Pi r^2; New area of circle Pi [1.3r]^2 =1.69 PI r^2

increase in area =PIr^2 [1.69–1] =0.69PIr^2

percentage increase in Area =0.69PIr^2/ Pi r^2 *100 =69 %