Question

if the circumference of a circle is 31.4 . what the radius and area​

Answer 1

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$\huge\mathfrak\red{Question:}$

If the circumference of a circle is 31.4, find the radius and area​.

$\huge\mathfrak\blue{Solution:}$

Circumference = 31.4

2 × pi × r = 31.4

r = 31.4 / 2 × 3.14

r = 5

-.-.-.-.-.-.-.-.-.-.-.-

Area = pi × r^2

= 3.14 × 5^2

= 3.14 × 5 × 5

= 78.5 cm^2

Hence, the radius is 5 cm and the area is 78.5 cm^2.

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Answer 2

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Radius = 5 units

Area = 78.5 sq. units

step-by-step explanation:

Given,

Circumference of circle = 31.4 units

but,

we know that,

circumference of a circle = 2πr

where,

r ia the radius of the circle

so,

=> 2 πr = 31.4

But,

π = 3.14

putting this value,

we get,

=> r = 31.4/(3.14 ×2)

=> r = 10/2

=> r = 5 units

therefore radius is 5 units.

Now,

we know that,

area of circle,A = π${r}^{2}$ sq.units

=> A = 3.14 × ${5}^{2}$ sq.units

=> A = 3.14 × 25 sq. units

=> A = 78.5 sq.units

Hence,

Radius = 5 units

Area = 78.5 sq. units