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A circular metal plate expands under hea...

A circular metal plate expands under heating so that its radius increases by 2%. Find the approximate increase in the area of the plate if the radius of the plate before heating is 10 cm.

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Knowledge Check

  • A circular template has a radius of 10 cm. The measurement of radius has an approximate error of 0.02 cm. Then the percentage error in calculating area of this template is

    A
    `0.2%`
    B
    `0.4%`
    C
    `0.04%`
    D
    `0.08%`

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    A circular plate expands uniformly under the influence of heat. If it's radius increases from 10.5 cm to 10.75 cm, then find an approximate change in the area and the approximate percentage change in the area.

    Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

    Column I, Column II a)A circular plate is expanded by heat from radius 6 cm to 6.06 cm. Approximate increase in the area is, b)If an edge of a cube increases by 2%, then the percentage increase in the volume is, c)If the rate of decrease of (x^2)/2-2x+5 is thrice the rate of decrease of x , then x is equal to (rate of decrease in nonzero)., d)The rate of increase in the area of an equailateral triangle of side 30c m , when each side increases at the rate of 0. 1c m//s , is, p. 5 q. 0.72 pi r. 6 s. (3sqrt(3))/2

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