Question

Find the radius and the area OI the C
(Take n = 3.14)
Find the radius and the circumference of a circle whose area is 1441 cm2.​

Answer 1

Given

• Area = 1441 cm²
• π = 3.14

Explanation:

Let the Radius of the circle be x and after substituting values we can find the exact value of the Radius as:

$\maltese{\large{\pmb{\boxed{\underline{\sf{ Area_{(Circle)} = πr^2 }}}}}} \\ \\ \\ \colon\implies{\sf{ 1441 = \dfrac{22}{7} \times (x)^2}} \\ \\ \\ \colon\implies{\sf{ \dfrac{1441 \times 7}{22} = x^2 }} \\ \\ \\ \colon\implies{\sf{ x^2 = 458.91 }} \\ \\ \\ \colon\implies{\sf{ x = \sqrt{458.91} }} \\ \\ \\ \colon\implies{\sf{ x = 21.4 \ cm }}$

Therefore, Radius of the circle be 21.4 cm.

Now, We can find the Circumference of the circle using Formula as:-

$\maltese{\large{\pmb{\boxed{\underline{\sf{ Circumference_{(Circle)} = 2πr }}}}}} \\ \\ \\ \colon\implies{\sf{ Circumference_{(Circle)} = 2 \times \dfrac{22}{7} \times 21.4 }} \\ \\ \\ \colon\implies{\sf{ Circumference_{(Circle)} = 2 \times 3.14 \times 21.4 }} \\ \\ \\ \colon\implies{\sf{ Circumference_{(Circle)} = 134.39 \ cm }}$

Hence,

• The Circumference of the circle is 134.39 cm.