Question

If the radius of circular room is 14m then how much area does it cover?​

Answer 1

A = π(14²) = 196π square meters

Answer 2

615.8 m²

Explanation:

To find the area of a circular room, we can use the area of a circle equation:

`\boxed{\begin{array}{l}\underline{\textsf{Area of a circle}}\\\\A=\pi r^2\\\\\textsf{where:}\\\\\phantom{ww}\bullet\;\textsf{$A$ is the area of the circle.}\\\phantom{ww}\bullet\;\textsf{$r$ is the radius of the circle.}\end{array}}`

Given the radius of the room is 14 m, substitute r = 14 into the equation and solve for area (A):

`A=\pi \cdot 14^2`

`A=\pi \cdot 196`

`A=615.7521601...`

`A=615.8\; \sf m^2\;(nearest\;tenth)`

Therefore, the area of a circular room with radius 14 m is 615.8 m², rounded to the nearest tenth.