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

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## 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.

1370 67

स्रोत : www.toppr.com

## 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 11Video 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.

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स्रोत : www.cuemath.com

## 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?

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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

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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

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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

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Mohammed 2 month ago

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