Question

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.

Answer 1

Answer:

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 %