Question

Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

Answer 1

Answer:

Step-by-step explanation:

floor = 12*10 = 120 sq ft

rug = π$r^{2}$ = 9π

120-9π = 91.74 sq ft

Answer 2

The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²

What is Area?

Area is the space occupied by a 2 dimensional figure.

The room is rectangular and its 12 ft by 10 ft. Therefore,

area of the room = lw

where

l = length

w = width

area of the room = 12 × 10 = 120 ft²

The rug is circular and its use to cover the room. Therefore,

area of rug = πr²

where

r = 3 ft

Therefore,

area of rug = 3.14 × 3² = 28.26 ft²

The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:

• area uncovered = 120 - 28.6 = 91.74 ft²

learn more on area here; https://brainly.com/question/1389611