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(Solved): a. Define a function \( g \) that determines the radius of a circle in \( \mathrm{cm}, r \), in ter ...




a. Define a function \( g \) that determines the radius of a circle in \( \mathrm{cm}, r \), in terms of the area of the circ
a. Define a function \( g \) that determines the radius of a circle in \( \mathrm{cm}, r \), in terms of the area of the circle in \( \mathrm{cm}^{2}, A \). \[ g(A)= \] b. Use function notation to represent each of the following: i. The area (in \( \mathrm{cm}^{2} \) ) of a circle whose radiul is \( 2.57 \mathrm{~cm} \) ? ii. The radius (in \( \mathrm{cm} \) ) of a circle whose area is \( 1051 \mathrm{~cm}^{2} \) ? iii. How much larger area a circle whose radius is \( 15.9 \mathrm{~cm} \) has than a circle whose radius is \( 15.8 \mathrm{~cm} \) ?


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Area of circle (A)=f(r)=?r2 (a). If a function g(A) determines the radius of circle r in terms of area A then from A=?r2r2=A?r=A? Therefore r=g(A)=A?
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