(C) Circumference of the circle $= \pi \times \text{diameter} = \frac{22}{7} \times 56 = 176 \, cm$.Perimeter of the square $= 272 - 176 = 96 \, cm$.S

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) Circumference of the circle $= \pi \times \text{diameter} = \frac{22}{7} \times 56 = 176 \, cm$.Perimeter of the square $= 272 - 176 = 96 \, cm$.Side of the square $= \frac{96}{4} = 24 \, cm$.Area of the square $= 24 \times 24 = 576 \, cm^2$.Radius of the circle $= \frac{56}{2} = 28 \, cm$.Area of the circle $= \pi r^2 = \frac{22}{7} \times 28 \times 28 = 2464 \, cm^2$.Required sum of areas $= 576 + 2464 = 3040 \, cm^2$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Medium

The sum of the circumference of a circle and the perimeter of a square is equal to $272 \, cm$. The diameter of the circle is $56 \, cm$. What is the sum of the areas of the circle and the square? (in $cm^2$)

A
$2464$
B
$2644$
C
$3040$
D
Cannot be determined

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Mensuration

Subtopic

Measurement of Area

$A$ drawing room is $7.5 \text{ m}$ long,$6.5 \text{ m}$ broad,and $6 \text{ m}$ high. Find the length of paper $2.5 \text{ dm}$ wide required to cover its walls,allowing $8 \text{ m}^2$ for doors.

Easy

View Solution

In a shower,$10\, cm$ of rain falls. What will be the volume of water that falls on $1$ hectare area of ground? (in $m^3$)

Medium

View Solution

If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).

Medium

View Solution

$A$ man runs around a circle of $50\, m$ radius at a speed of $12\, km/h$. Find the time taken by him for going around it ten times (in $minutes$).

Medium

View Solution

The number of marble slabs of size $20 \text{ cm} \times 30 \text{ cm}$ required to pave the floor of a square room of side $3 \text{ m}$ is:

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The sum of the circumference of a circle and the perimeter of a square is equal to $272 \, cm$. The diameter of the circle is $56 \, cm$. What is the sum of the areas of the circle and the square? (in $cm^2$)

Similar Questions

$A$ drawing room is $7.5 \text{ m}$ long,$6.5 \text{ m}$ broad,and $6 \text{ m}$ high. Find the length of paper $2.5 \text{ dm}$ wide required to cover its walls,allowing $8 \text{ m}^2$ for doors.

In a shower,$10\, cm$ of rain falls. What will be the volume of water that falls on $1$ hectare area of ground? (in $m^3$)

If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).

$A$ man runs around a circle of $50\, m$ radius at a speed of $12\, km/h$. Find the time taken by him for going around it ten times (in $minutes$).

The number of marble slabs of size $20 \text{ cm} \times 30 \text{ cm}$ required to pave the floor of a square room of side $3 \text{ m}$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module