# what is the diameter of the circle if the circumference is 31.4 cm

### Mohammed

Guys, does anyone know the answer?

get what is the diameter of the circle if the circumference is 31.4 cm from screen.

## The circumference of a circle is 31.4cm. Find the radius and area of the circle.[Take pi = 3.14]

Click here👆to get an answer to your question ✍️ The circumference of a circle is 31.4cm. Find the radius and area of the circle.[Take pi = 3.14]

Question

## The circumference of a circle is 31.4cm. Find the radius and area of the circle.[Take pi=3.14]

Easy Open in App Solution Verified by Toppr

As we know that circumference of the circle is given as-

Circumference =2πr Given:-

Circumference of the circle =31.4cm

∴2πr=31.4 ⇒2×3.14×r=31.4 ⇒r=5cm

Now again as we know that the area of the circle is given as-

Area =πr 2 ⇒ Area =3.14×(25) 2 =78.5cm 2

Hence the radius and area of the circle is 5cm amd 78.5cm

2 respectively.

Was this answer helpful?

1370 67

## The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14). The formula for the area of a circle is A = πr2, where r is the radius. The radius and the area of the circle are 5 cm and 78.5 cm2 respectively.

## The circumference of a circle is 31.4 cm. Find the radius and the area of the circle. (Take π = 3.14)

**Solution:**

Circumference of the circle = 31.4 cm

2πr = 31.4 cm

2 × 3.14 × r = 31.4 cm

r = 31.4 cm /6.28 r = 5 cm

Area of the circle = πr2

= 3.14 × 5 cm × 5 cm

= 78.5 cm2

Therefore, the radius and the area of the circle are 5 cm and 78.5 cm2 respectively.

**☛ Check:**NCERT Solutions for Class 7 Maths Chapter 11

**Video Solution:**

## The circumference of a circle is 31.4 cm. Find the radius and the area of the circle

Maths NCERT Solutions Class 7 Chapter 11 Exercise 11.3 Question 12

**Summary:**

The circumference of a circle is 31.4 cm. The radius and the area of the circle is 5 cm and 78.5 cm2 respectively.

**☛ Related Questions:**

A Circular Flower Bed Is Surrounded By A Path 4 M Wide The Diameter Of The Flower Bed Is 66 M What Is The Area Of This Path 3 14

A Circular Flower Garden Has An Area Of 314 M2 A Sprinkler At The Center Of The Garden Can Cover An Area That Has A Radius Of 12 M Will The Sprinkler Can Water The Entire Garden

Find The Circumference Of The Inner And The Outer Circles Shown In The Adjoining Figure Take 3 14

How Many Times A Wheel Of Radius 28 Cm Must Rotate To Go 352 M Take 22 7

## What is the diameter of the circle if the circumference is 31.4 cm?

Answer (1 of 4): Circumference of circle=31.4 cm 2πr=31.4cm r=31.4÷2π r=5cm Therefore, Diameter=5cm×2=10cm Ans Thanks

What is the diameter of the circle if the circumference is 31.4 cm?

Ad by Amazon Web Services (AWS)

AWS is how.

AWS removes the complexity of building, training, and deploying machine learning models at any scale.

Sort Palvi Vaid

M.SC [ MATHEMATICS] from University of Jammu,B.EdAuthor has 523 answers and 493K answer views1y

Circumference of circle=31.4 cm

2πr=31.4cm r=31.4÷2π r=5cm Therefore,

Diameter=5cm×2=10cm Ans

Thanks Related questions

What is the circumference of a circle whose diameter is 72 cm?

A circle has a circumference of 10 units. What is the circle's diameter? Use 31.4 for pi.

What is the circumference of a circle with a diameter of 4?

If the circumference is 31.09cm of a circle, then what is the diameter and radius?

The diameter of a circle is 10.5 cm. What is its circumference?

Harish Harish

B.E in Mechanical Engineering, Government College of Engineering (An Autonomous Institution affiliated to Anna University) , Salem (Expected 2023)1y

Circumference of a circle, C = 2πr

where r is a radius of a circle

Diameter of a circle = 2 × radius of a circle

i.e D = 2× r Therefore , C = πD 31.4 = 3.14 × D D = 31.4/3.14 D = 10 cm Mukund DC

Author has 471 answers and 457.3K answer views1y

Diameter of the circle is equal to two times the radius

I.e D=2×r−−−−(1) D=2×r−−−−(1)

Given the circumference of the circle

C=31.4 C=31.4 ⇒2πr=31.4 ⇒2πr=31.4 ⇒r= 31.4 2π ⇒r=31.42π ⇒r= 31.4 2×3.14 =5cm ⇒r=31.42×3.14=5cm

Substituting in equation (1) we ge

D=2×5=10cm D=2×5=10cm

Therefore the diameter of the circle is

10cm 10cm Sponsored by USAFIS

This is the best time to apply for the Green Card DV Lottery!

Get a chance to win and apply today! America is waiting for you with many amazing opportunities.

Aravind Kumar

Worked at Tata Consultancy Services (company) (2009–2011)Author has 6.6K answers and 1.5M answer views1y

Circumference of a circle =2×pi×r=31.4 cm

Hence 2×3.14×r=31.4 hence r=5 cm hence diameter =10 cm

Peter James Thomas

Top 5 Quora writer on

π π

Author has 6.1K answers and 13.5M answer views1y

Related

A circle has a circumference of 10 units. What is the circle's diameter? Use 31.4 for pi.

A circle has a circumference of 10 units. What is the circle's diameter? Use 31.4 for pi.

Good luck using 31.4 for

π π .

Manjunath Subramanya Iyer

I am a retired bank officer teaching mathsAuthor has 6.8K answers and 6.9M answer viewsJul 15

Related

What is the diameter of a circle if the circumference is 12 cm?

Refer to your textbook where they will have done similar problems and do this problem on your own

Howard Medhurst

Former Software DeveloperAuthor has 4.3K answers and 1.3M answer views1y

Related

What is the diameter of the circle whose circumference is 30.8 meters?

Circumference is π × diameter, so diameter is circumference / π.

If your calculator has a π button, just press 30.8÷π= and the result will appear like magic. Don’t let the calculator frighten you; you’ll soon learn how to use it. It’s a lot less frightening than me! If you really don’t like calculators, you could ask Google.

If you don’t like Google either, don’t worry; I’ve done it for you.

If you want to do the sum using pencil and paper, you can simplify it by pretending π = 22/7 (it isn’t really, but that’s close enough for a rough answer), and you get 9.8 metres. (I spell “metres” the Englis

Sponsored by Screener.co

The Screener.co stock screener is a screener for value investors.

Screener.co is a very robust fundamental stock screener. It's free for 30 days, then from $24.95/mo.

Bob Collier

Former EE Designed Specialized Computers for 33 Years.Author has 2K answers and 470.1K answer viewsMay 21

Related

How do you find a circumference with a diameter?

I typically walk a few blocks to a busy intersection and wave to stop traffic, asking each, “Do you know how much pi is?” It usually doesn’t take too long. I used to write it down, but with practice, I can now remember it until I get home.

Then I typically Google “circumference diameter” to get the formula.

Works every time. Abdul Jabbar

Senior Quantity Surveyor (Consultant) at WAPCOS LIMITED (2018–present)Author has 1.1K answers and 547.2K answer views1y

Related

What is the circumference of a circle with a diameter of 18 cm?

Diamete = 18 cm

Radius = Diametre / 2 = 18/2 = 9 cm

Circumference of a circle = 2πr = 2×22×9/7 = 56.571 cm

Therefore, circumference of a circle = 56.571 cm

Karthik K

Civil Engineering (2021–present)Feb 4

Related

The diameter of a circle is 50 cm. What is its circumference and radius?

Simple

Circumference = π x D (Dia)

You know π = 3.142 D = 50 CM Circumference = ? Calculate with

circumference = π x D. Formula

circumference = 3.142 x 50

circumference = 157.1 Cm

Guys, does anyone know the answer?