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24. The diameter of a circle is increased by 15%
the increase in the area of the circle is
Question
ons
24. The diameter of a circle is increased by 15%
the increase in the area of the circle is
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Mathematics
4 months
2021-08-01T09:23:34+00:00
2021-08-01T09:23:34+00:00 1 Answers
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Answers ( )
Step-by-step explanation:
original circle:
diameter= d
area of original circle= π d^2 / 4
diameter is 15% increased new circle formed
diameter of new circle=d(115) /100
= 23d/20
area of new circle= π (23d/20)^2 / 4
increase in area = new area-old area
= π (23d/20)^2 / 4 – π (d)^2 / 4
= πd^/4(23^2-20^2)/20^2
= πd^/4(23^2-20^2)/20^2
=πd^/(129)/1600
= 129 πd^/1600
the increase in the area of the circle is 129 πd^/1600