Question

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


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Answer 1

Answer:

The radius of given circle is 5 cm and the area of the circle is 78.5 sq.cm.

Step-by-step explanation:

Circumference of a circle = 2 \pi r2πr

Since w are given that the circumference of circle is 31.4 cm

So, 31.4 = 2 \times 3.14 r31.4=2×3.14r

\frac{31.4}{2 \times 3.14}= r

2×3.14

31.4

=r

[tex5= r[/tex]

So, radius of given circle is 5 cm

Area of circle = \pi r^2πr

2

= 3.14 (5)^23.14(5)

2

= 78.578.5

Thus the area of circle is 78.5 sq.cm.

Hence the radius of given circle is 5 cm and the area of the circle is 78.5 sq.cm.

Answer 2

Answer:

radius = 5 cm, Area = 78.5 cm²

Step-by-step explanation:

Given,

Circumference = 31.4 cm

2πr = 31.4

r = 31.4/2π

r = 31.4/2*3.14

r = 31.4/6.28

r = 3140/628 (multiplying by 100 on both numerator and denominator)

r = 5 cm

Area = πr²

= 3.14 * 5 * 5

= 3.14 * 25

= 78.5 cm²

Hope it helps..❤️