Question

the circumference of a circle is 31.4cm.find the radius and the area of the circle? (Takeπ = 3.14
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Answer 1

Step-by-step explanation:

Circumference = 2πr = 31.4cm

== 2×3.14 × r = 31.4

== r = 5cm

Area = πr² = 3.14(5)² = 78.5cm²

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Answer 2

To find : radius and area of  circle

Given : circumference of a circle is $31.4 \ cm$

Solution :

• We know that circumference of a circle is $31.4 \ cm$ .
• Circumference of circle = $2\pi r$

          $31.4 = 2\times 3.14 \times r \\r = \frac{31.4}{2\times3.14 } \\r = 5\ cm$

• Radius = $5\ cm$
• Area of circle = $\pi r^{2}$

                              $= 3.14\times (5)^{2} \\=3.14\times 25\\= 78.5\ cm ^{2}$

Hence , radius and area of  circle are $5\ cm$ and $78.5 \ cm ^{2}$ respectively .