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Math question

發問:

1) Can a square of area 32 cm2 be inscribed into a circle with radius 4 cm? Briefly explain your idea. 2) Joseph measured the weight of an apple to be 31.8g. if the actuai weight of the apple is 32g, find the percentage error of joaeph's measurement.

最佳解答:

Area of a circle with radius 4 cm: 4^2(pi)=16pi=50.3(cor .to 3 sig. figs.) ____________________ a square of area 32 cm2: 32 ______ 50.3=>32 ___________________ NO,we can not. _____________________________________ absolute error:32-31.8=0.2g________Percentage error: (0.2/32)x100% 0.625% _________________________ 2010-07-26 16:14:57 補充: To 001,absolute error must be postive!

其他解答:

To 001: 50.3=>32 So, the answer is YES. (However, using area to check if it is possible or not is not correct.) (A 1cm*100cm square still can't be inscribed into a circle with radius 6cm) You MUST find the diameter of circle and hypotenuse of square.
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