Question

The radius of a circle is increased from 5.00 to 5.04 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 m2 (Type an exact answer, using x as needed) The estimated change in area expressed as a percentage of the circle's original area is

Answer 1

1.016%

Step-by-step explanation:

We need to calculate the rate in the area.

We know that,

`A=\pi r^2`

`A_1=\pi (5)^2 =78.5398m^2\\A_2= \pi(5.04)^2 = 79.8014m^2`

The change in area is

`A_2-A_1=1.2616m^2`

In percentage that represent,

`Rate = (A_2)/(A_1) = (79.8014)/(78.5398) = 1.016\%`