Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm Χ 7cm. Find the area of the remaining cardboard.

Open in App

Solution

Since each circle has maximum area,
diameter of each circle = half of length = 7 cm
radius of each circle = 3.5 cm
Area of each circle =πr2=2273.52=38.5 cm2
Area of both circles = 38.52=77 cm2
Total area = 14*7=98 cm2
Remaining area =98-77=21cm2

Suggest Corrections

Similar questions

Q. Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimension

14 c m \times 7 c m .

Find the area of the remaining cardboard.

Q. Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm ⨯ 7 cm. Find the area of the remaining cardboard. [CBSE 2013]

Q. Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions

14 c m \times 7 c m

. Find the area of the remaining card board.

[Use π = \frac{22}{7}]

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions $14 c m \times 7 c m$ . Find the area of the remaining card board. (Use $π = \frac{22}{7}$ )

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm. 7 cm. find the area of the remaining card board $[U s e π = \frac{22}{7}]$

Join BYJU'S Learning Program

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm Χ 7cm. Find the area of the remaining cardboard.

Since each circle has maximum area, diameter of each circle = half of length = 7 cm radius of each circle = 3.5 cm Area of each circle =πr2=227*3.52=38.5 cm2 Area of both circles = 38.5*2=77 cm2 Total area = 14*7=98 cm2 Remaining area =98-77=21cm2

Since each circle has maximum area,
diameter of each circle = half of length = 7 cm
radius of each circle = 3.5 cm
Area of each circle =πr2=2273.52=38.5 cm2
Area of both circles = 38.52=77 cm2
Total area = 14*7=98 cm2
Remaining area =98-77=21cm2