Area of the circle is 38.5 cm^2. Find the circumference.

1.	Area of the circle is 38.5 cm^2. Find the circumference.
Answer» Given :- AREA of the circle is 38.5 cm^2. To Find :- Find the circumference. Solution :- ~Here, we’re given the area of a circle and we need to find the circumference of that circle. Firstly we will find the radius of the circle by putting the VALUES in the FORMULA of area of circle. After getting the radius we can easily find the circumference by applying it’s formula. ____________ As we KNOW that , $\boxed{\sf{ \maltese \;\; Area\;of\;circle = \pi r^{2} }}$ $\boxed{\sf{ \maltese \;\; Circumference = 2 \pi r }}$ ____________ Finding the radius :- $\sf \implies \pi r^{2} = 38.5 \;cm^{2}$ $\sf \implies \dfrac{<klux>22</klux>}{7} \times r^{2} = 38.5$ $\sf \implies r = \sqrt{38.5 \div \dfrac{22}{7}}$ $\boxed{\bf{ \bigstar \;\; Radius = 3.5 \;cm}}$ Finding the circumference :- $\sf \implies 2 \times \dfrac{22}{7} \times 3.5$ $\sf \implies 2 \times \dfrac{22}{7} \times \dfrac{35}{10}$ $\sf \implies \dfrac{220}{10}$ $\boxed{\bf{ \bigstar \;\; Circumference = 22\;cm }}$ ____________ Hence, The circumference of that circle is 22 cm ____________

Answer»

Given :-

AREA of the circle is 38.5 cm^2.

To Find :-

Find the circumference.

Solution :-

~Here, we’re given the area of a circle and we need to find the circumference of that circle. Firstly we will find the radius of the circle by putting the VALUES in the FORMULA of area of circle. After getting the radius we can easily find the circumference by applying it’s formula.

____________

As we KNOW that ,

$\boxed{\sf{ \maltese \;\; Area\;of\;circle = \pi r^{2} }}$