Question

I need help question 4

Answer 1

Function Notation

The area of a circle of radius r can be found with the function:

`f(r)=\pi r^2`

Which can be written with the code f(r) = pi*r^2

If given Area A, we can use this function to find the radius:

`r=\sqrt[]{(A)/(\pi)}`

Which can be written as r(A) = sqrt(A/pi)

Part b (apparently) asks for the function notation, not the results:

i) The area of a circle of radius of 2.64 can be found with the function:

f(2.64)=pi*2.64^2

The result is 21.90 (rounding to two decimals)

ii) The radius of a circle whose area is 1370:

r(1370) = sqrt(1370/pi)

The result is 20.88

iii How much larger area has a circle whose radius is 15.2 than a circle whose radius is 15.1:

pi*15.2^2 - pi*15.1^2

The result is 9.52