Question

if circumference of a circle is 352cm then find the radius and area of the circle.​

Answer 1

Step-by-step explanation:

If Circumference is 352cm them radius will be

r≈56.02

Answer 2

Answer:

i) The radius of the circle is $56.05$ cm.

ii) The area of the circle is $9864.6$ $cm^{2}$.

Step-by-step explanation:

Given : Circumference of a circle = $352$ cm

To find : i) Radius of the circle.

           ii) Area of the circle.

Solution :

• It is given that the circumference of a circle = $352$ cm
• We have to find the Radius and Area of the circle.
• Circle is a two dimensional figure having all set of points at an equal distance from the center of the circle.
• To find radius, use the formula for circumference of a circle.
• The formula for circumference of a circle is given by,

             Circumference of a circle = $2\pi r$

                                         ∴ $352=2*3.14*r$   (∵ Use $\pi =3.14$)

                                         ∴ $352=6.28*r$

• Transpose $6.28$ to other side, we get

                                         ∴ $\frac{352}{6.28} =r$

                                         ∴ $r = 56.05$ cm

• ∴ The radius of the circle is $56.05$ cm.
• Now, the formula for area of the circle is given by,

              Area of the circle = $\pi r^{2}$

                                        = $3.14*(56.05)^{2}$

                                        = $3.14*3141.6$

                                        = $9864.6$ $cm^{2}$

• ∴ The area of the circle is $9864.6$ $cm^{2}$.