Question

The circumference of a circle is 9 pi m. What is the area, in square meters? Express

your answer in terms of pi

Answer 1

`Solution,\\Circumference=9\pim \\Diameter(d)=9\pi /\pi =9m\\Radius(r)=9m/2=4.5m\\Now,\\ Area=\pi r^(2) \\Area=\pi *(4.5m)^(2) \\Area=\pi *20.25m^(2) \\Area=20.25\pi m^(2)`

Explanation:

Hope it will help you a lot.

Answer 2

20.25 m²

Explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = = = 4.5, hence

A = π × 4.5² = 20.25π m²