From a square cartboard of side 21 cm,a circle of maximum area is cut out.find the area of the cardboard left.
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i think your answer is 94.5 cm ^2
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firstly we find area of square cardboard
s^2
21^2
441.
now area of circle
so we l now that circle will touch the sides of square then the diameter of circle will be 21 cm
so radius is 10.5
now area
pi×r^2
22/7×105/10^2
22/7×105/10×105/10
22×15/10×105/10
22×1575/100
34650/100
346.5
now area left
area of square -area of circle
441-346.5
=94.5
hope it helps you frnd
s^2
21^2
441.
now area of circle
so we l now that circle will touch the sides of square then the diameter of circle will be 21 cm
so radius is 10.5
now area
pi×r^2
22/7×105/10^2
22/7×105/10×105/10
22×15/10×105/10
22×1575/100
34650/100
346.5
now area left
area of square -area of circle
441-346.5
=94.5
hope it helps you frnd
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