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30 July, 09:36

The radius of a circle is increased from 8.008.00 to 8.038.03 m. Estimate the resulting change in area, and then express the estimate as a percentage of the circle's original area. The estimated change in area is nothing msquared2.

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  1. 30 July, 10:35
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    Step-by-step explanation:

    The area of a circle is expressed as

    Area = πr^2

    Where r = radius of the circle

    π = constant = 3.14

    The radius of a circle is increased from 8.00800 to 8.03803 m. This means that the original radius of the circle is 8.00800 and the new radius of the circle is 8.03803

    Area of original circle =

    3.14 * 8.00800^2 = 201.36212096

    Area of new circle =

    3.14 * 8.03803^2 = 202.87516852203

    Increase in area = 202.87516852203 - 201.36212096

    = 1.51304756203

    Expressing the change as a percentage, it becomes

    1.51304756203/201.36212096 * 100

    Percentage change = 0.75 %
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